Edit Profile Schechtman, Gideon Compute Distance To: Compute Author ID: schechtman.gideon Published as: Schechtman, G.; Schechtman, Gideaon; Schechtman, Gideon; Shekhtman, G. Homepage: http://www.wisdom.weizmann.ac.il/~/gideon/ External Links: MGP · Wikidata Documents Indexed: 126 Publications since 1975, including 7 Books Reviewing Activity: 12 Reviews all top 5 Co-Authors 32 single-authored 38 Johnson, William Buhmann 11 Milman, Vitali D. 11 Naor, Assaf 9 Lindenstrauss, Joram 6 Zinn, Joel 5 Figiel, Tadeusz 5 Preiss, David 4 Maurey, Bernard 4 Pisier, Gilles 3 Feige, Uriel 3 Müller, Paul F. X. 3 Schechtman, Edna 3 Shraibman, Adi 2 Bourgain, Jean 2 Hitczenko, Paweł 2 Kindler, Guy 2 Litvak, Aleksandr Evgen’evich 2 Mendelson, Shahar 2 Schlumprecht, Thomas 2 Schmuckenschläger, Michael 2 Tomczak-Jaegermann, Nicole 1 Angel, Omer 1 Arias Junior, Alexandre 1 Artstein, Zvi 1 Bastero, Jesús 1 Bates, Sean M. 1 Benjamini, Itai 1 Benyamini, Yoav 1 Cwikel, Michael 1 Dosev, Detelin T. 1 Ghoussoub, Nassif A. 1 Giladi, Ohad 1 Heiman, Eyal 1 Kadets, Vladimir M. 1 Kania, Tomasz 1 Kleper, Dvir 1 Kwapień, Stanisław 1 Langberg, Michael 1 Ledoux, Michel 1 Levy, Ran 1 Li, Wenbo V. 1 Lindenstrauss, Ayelet 1 Lindenstrauss, Elon 1 Linial, Nathan 1 Moses, Yael 1 Mykhaylyuk, Vladimir 1 Nasseri, Amir Bahman 1 Nilsson, Per G. 1 Ozawa, Narutaka 1 Peleg, David 1 Peña, Ana 1 Popov, Mykhaĭlo Mykhaĭlovych 1 Randrianantoanina, Beata 1 Rosenthal, Haskell P. 1 Rudelson, Mark 1 Szankowski, Andrzej 1 Tkocz, Tomasz 1 Tzafriri, Lior 1 Ullman, Shimon 1 Vershynin, Roman 1 Wool, Avishai 1 Zvavitch, Artem all top 5 Serials 13 Israel Journal of Mathematics 8 Proceedings of the American Mathematical Society 5 Lecture Notes in Mathematics 4 The Annals of Probability 3 Transactions of the American Mathematical Society 3 Random Structures & Algorithms 3 Geometric and Functional Analysis. GAFA 2 Studia Mathematica 2 Bulletin of the London Mathematical Society 2 Compositio Mathematica 2 Illinois Journal of Mathematics 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 SIAM Journal on Computing 2 Discrete & Computational Geometry 2 Journal of the American Mathematical Society 1 Biological Cybernetics 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Mathematics of Operations Research 1 Metron 1 Michigan Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of Operator Theory 1 Statistics & Probability Letters 1 Combinatorica 1 Algorithmica 1 Journal of Statistical Computation and Simulation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 St. Petersburg Mathematical Journal 1 Electronic Journal of Probability 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Oberwolfach Reports 1 Banach Journal of Mathematical Analysis 1 Journal of Topology and Analysis 1 Forum of Mathematics, Pi all top 5 Fields 98 Functional analysis (46-XX) 20 Probability theory and stochastic processes (60-XX) 19 Operator theory (47-XX) 16 Convex and discrete geometry (52-XX) 8 Computer science (68-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 General and overarching topics; collections (00-XX) 6 Combinatorics (05-XX) 5 Measure and integration (28-XX) 5 Operations research, mathematical programming (90-XX) 4 General topology (54-XX) 4 Statistics (62-XX) 3 Functions of a complex variable (30-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 1,405 times in 1,054 Documents Cited by ▼ Year ▼ Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds. Zbl 0606.46013Milman, Vitali D.; Schechtman, Gideon 303 1986 Global versus local asymptotic theories of finite-dimensional normed spaces. Zbl 0911.52002Milman, V. D.; Schechtman, G. 105 1997 Symmetric structures in Banach spaces. Zbl 0421.46023Johnson, W. B.; Maurey, B.; Schechtman, G.; Tzafriri, L. 99 1979 Best constants in moment inequalities for linear combinations of independent and exchangeable random variables. Zbl 0564.60020Johnson, W. B.; Schechtman, G.; Zinn, J. 63 1985 On the volume of the intersection of two \(L^ n_ p\) balls. Zbl 0704.60017Schechtman, G.; Zinn, J. 45 1990 Sums of independent random variables in rearrangement invariant function spaces. Zbl 0674.60051Johnson, William B.; Schechtman, G. 45 1989 Almost Fréchet differentiability of Lipschitz mappings between infinite-dimensional Banach spaces. Zbl 1023.46046Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon 32 2002 Averages of norms and quasi-norms. Zbl 0920.46006Litvak, A. E.; Milman, V. D.; Schechtman, G. 32 1998 Affine approximation of Lipschitz functions and nonlinear quotients. Zbl 0954.46014Bates, S.; Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G. 31 1999 Extensions of Lipschitz maps into Banach spaces. Zbl 0626.46007Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon 30 1986 Banach spaces determined by their uniform structures. Zbl 0864.46008Johnson, W. B.; Lindenstrauss, J.; Schechtman, G. 29 1996 Planar earthmover is not in \(L_1\). Zbl 1155.46005Naor, Assaf; Schechtman, Gideon 27 2007 Two observations regarding embedding subsets of Euclidean spaces in normed spaces. Zbl 1108.46011Schechtman, Gideon 26 2006 Diamond graphs and super-reflexivity. Zbl 1183.46022Johnson, William B.; Schechtman, Gideon 24 2009 On the Gaussian measure of the intersection. Zbl 0936.60015Schechtman, G.; Schlumprecht, Th.; Zinn, J. 24 1998 Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices. Zbl 1044.46018Cwikel, Michael; Nilsson, Per G.; Schechtman, Gideon 22 2003 Complexity measures of sign matrices. Zbl 1164.68006Linial, Nati; Mendelson, Shahar; Schechtman, Gideon; Shraibman, Adi 21 2007 Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities. Zbl 0867.60006Figiel, T.; Hitczenko, P.; Johnson, W. B.; Schechtman, G.; Zinn, J. 21 1997 Martingale inequalities in rearrangement invariant function spaces. Zbl 0672.60049Johnson, W. B.; Schechtman, G. 20 1989 Remarks on non linear type and Pisier’s inequality. Zbl 1033.46013Naor, Assaf; Schechtman, Gideon 18 2002 On the optimality of the random hyperplane rounding technique for MAX CUT. Zbl 1005.90052Feige, Uriel; Schechtman, Gideon 17 2002 Concentration on the \(\ell_p^n\) ball. Zbl 0971.46009Schechtman, G.; Zinn, J. 15 2000 An ordinal \(L^p\)-index for Banach spaces, with application to complemented subspaces of \(L^p\). Zbl 0496.46010Bourgain, J.; Rosenthal, H. P.; Schechtman, G. 15 1981 Embedding \(l_ p^ m\) into \(l_ 1^ n\). Zbl 0522.46015Johnson, William B.; Schechtman, Gideon 14 1982 More on embedding subspaces of \(L_ p\) in \(l^ n_ r\). Zbl 0659.46021Schechtman, Gideon 12 1987 Special orthogonal splittings of \(L_1^{2k}\). Zbl 1066.46010Schechtman, Gideon 11 2004 Finite dimensional subspaces of \(L_p\). Zbl 1012.46012Johnson, William B.; Schechtman, Gideon 11 2001 On the relation between several notions of unconditional structure. Zbl 0488.46012Johnson, W. B.; Lindenstrauss, J.; Schechtman, G. 11 1980 Commutators on \(L_p\), \(1\leq p <\infty\). Zbl 1278.47038Dosev, Detelin; Johnson, William B.; Schechtman, Gideon 10 2013 Lipschitz quotients from metric trees and from Banach spaces containing \(\ell _{1}\). Zbl 1013.46012Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon 10 2002 A concentration inequality for harmonic measures on the sphere. Zbl 0840.31012Schechtman, G.; Schmuckenschläger, M. 10 1995 Another remark on the volume of the intersection of two \(\ell^ n_ p\) balls. Zbl 0776.46013Schechtman, G.; Schmuckenschläger, M. 10 1991 Bourgain’s discretization theorem. Zbl 1283.46015Giladi, Ohad; Naor, Assaf; Schechtman, Gideon 9 2012 Very tight embeddings of subspaces of \(L_p\), \(1 \leq p < 2\), into \(\ell^n_p\). Zbl 1036.46008Johnson, William B.; Schechtman, Gideon 8 2003 Randomized approximation of bounded multicovering problems. Zbl 0873.68077Peleg, D.; Schechtman, G.; Wool, A. 8 1997 Remarks on Talagrand’s deviation inequality for Rademacher functions. Zbl 0753.60024Johnson, William B.; Schechtman, Gideon 8 1991 Euclidean sections of convex bodies. Zbl 1284.46013Schechtman, Gideon 7 2013 The UGC hardness threshold of the \(L_{p}\) Grothendieck problem. Zbl 1216.68340Kindler, Guy; Naor, Assaf; Schechtman, Gideon 7 2010 The random version of Dvoretzky’s theorem in \(\ell_\infty^n\). Zbl 1183.46011Schechtman, G. 7 2007 Concentration, results and applications. Zbl 1057.46011Schechtman, Gideon 7 2003 An “isomorphic” version of Dvoretzky’s theorem. II. Zbl 0942.46012Milman, Vitali; Schechtman, Gideon 7 1999 Hypercontractivity and comparison of moments of iterated maxima and minima of independent random variables. Zbl 0889.60003Hitczenko, Paweł; Kwapień, Stanisław; Li, Wenbo V.; Schechtman, Gideon; Schlumprecht, Thomas; Zinn, Joel 7 1998 An “isomorphic” version of Dvoretzky’s theorem. Zbl 0836.46007Milman, Vitali D.; Schechtman, Gideon 7 1995 On Lipschitz embedding of finite metric spaces in low dimensional normed spaces. Zbl 0631.46016Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon 7 1987 Random embeddings of Euclidean spaces in sequence spaces. Zbl 0474.46004Schechtman, Gideon 7 1981 Multiplication operators on \(L(L_{p})\) and \(\ell_{p}\)-strictly singular operators. Zbl 1165.46010Johnson, William B.; Schechtman, Gideon 6 2008 Weakly null sequences in \(L_1\). Zbl 1125.46014Johnson, William B.; Maurey, Bernard; Schechtman, Gideon 6 2007 Uniform quotient mappings of the plane. Zbl 1004.54019Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G. 6 2000 Examples of \(\mathcal L_p\) spaces \((1<p\neq 2<\infty)\). Zbl 0316.46018Schechtman, G. 6 1975 A remark on unconditional basic sequences in \(L_p\) (\(1<p<\infty\)). Zbl 0306.46035Schechtman, G. 6 1975 Ideals in \(L(L_1)\). Zbl 07159967Johnson, W. B.; Pisier, G.; Schechtman, G. 5 2020 Non-linear factorization of linear operators. Zbl 1183.46021Johnson, W. B.; Maurey, B.; Schechtman, G. 5 2009 Lower bounds for local versions of dimension reductions. Zbl 1171.46008Schechtman, Gideon; Shraibman, Adi 5 2009 Embedding subspaces on \(L_p\) into \(\ell_p^N, 0<p<1\). Zbl 1046.46011Schechtman, Gideon; Zvavitch, Artem 5 2001 Factorizations of natural embeddings of \(\ell ^ n_ p\) into \(L_ r\). I. Zbl 0671.46009Figiel, T.; Johnson, W. B.; Schechtman, G. 5 1988 On Pelczynski’s paper ’Universal bases’. Zbl 0316.46014Schechtman, Gideon 5 1976 Pythagorean powers of hypercubes. Zbl 1364.46022Naor, Assaf; Schechtman, Gideon 4 2016 Metric \(X_{p}\) inequalities. Zbl 1344.46018Naor, Assaf; Schechtman, Gideon 4 2016 Upper bounds on the height difference of the Gaussian random field and the range of random graph homomorphisms into \(\mathbb{Z}\). Zbl 0957.05098Benjamini, Itai; Schechtman, Gideon 4 2000 The Lyapunov theorem for \(\ell_ p\)-valued measures. Zbl 0804.46048Kadets, V. M.; Shekhtman, G. 4 1992 Random sign embeddings from \(\ell ^ n_ r\), \(2<r<\infty\). Zbl 0655.46016Figiel, T.; Johnson, W. B.; Schechtman, G. 4 1988 Almost isometric \(L_p\) subspaces of \(L_p(0,1)\). Zbl 0415.46029Schechtman, Gideon 4 1979 Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support. Zbl 1372.46017Johnson, William B.; Kania, Tomasz; Schechtman, Gideon 3 2016 Injective Tauberian operators on \(L_1\) and operators with dense range on \(\ell_\infty\). Zbl 1330.47003Johnson, William; Nasseri, Amir Bahman; Schechtman, Gideon; Tkocz, Tomasz 3 2015 Narrow and \(\ell_2\)-strictly singular operators from \(L_p\). Zbl 1314.46024Mykhaylyuk, V.; Popov, M.; Randrianantoanina, B.; Schechtman, G. 3 2014 No greedy bases for matrix spaces with mixed \(\ell_p\) and \(\ell_q\) norms. Zbl 1308.46020Schechtman, Gideon 3 2014 On commuting families of nonexpansive operators. Zbl 0516.47030Schechtman, Gideon 3 1982 Impossibility of dimension reduction in the nuclear norm. Zbl 1412.46036Naor, Assaf; Pisier, Gilles; Schechtman, Gideon 2 2018 A Schauder basis for \(L_{1}(0,\infty)\) consisting of non-negative functions. Zbl 1345.46006Johnson, William B.; Schechtman, Gideon 2 2015 Matrix subspaces of \(L_1\). Zbl 1287.46025Schechtman, Gideon 2 2013 Several remarks concerning the local theory of \(L_p\) spaces. Zbl 1085.46006Johnson, W. B.; Schechtman, G. 2 2004 Graphs with tiny vector chromatic numbers and huge chromatic numbers. Zbl 1105.68088Feige, Uriel; Langberg, Michael; Schechtman, Gideon 2 2004 On characterization of two-sample \(U\)-statistics. Zbl 0996.62004Schechtman, E.; Schechtman, G. 2 2002 On the integrality ratio of semidefinite relaxations of MAX CUT. Zbl 1323.68298Feige, Uriel; Schechtman, Gideon 2 2001 A remarkable rearrangement of the Haar system in \(L_{p}\). Zbl 0883.46021Müller, Paul F. X.; Schechtman, Gideon 2 1997 Several results concerning unconditionality in vector valued \(L^ p\) and \(H^ 1({\mathcal F}_ n)\) spaces. Zbl 0723.46029Müller, Paul F. X.; Schechtman, Gideon 2 1991 Factorizations of natural embeddings of \(\ell^ n_ p\) into \(L_ r\). II. Zbl 0764.46018Figiel, T.; Johnson, W. B.; Schechtman, G. 2 1991 On the distance of subspaces of \(\ell_ p^ n\) to \(\ell_ p^ k\). Zbl 0758.46023Johnson, William B.; Schechtman, Gideon 2 1991 On complemented subspaces of \(H^ 1\) and VMO. Zbl 0687.46014Müller, Paul F. X.; Schechtman, Gideon 2 1989 Fine embeddings of finite dimensional subspaces of \(L_ p\), \(1\leq p<2\), into \(\ell ^ m_ 1\). Zbl 0597.46019Schechtman, Gideon 2 1985 Complemented subspaces of \((\ell_2\oplus\ell_2\oplus\dots)_p\) \(1<p<\infty\) with an unconditional basis. Zbl 0312.46025Schechtman, G. 2 1975 The relationship between Gini terminology and the ROC curve. Zbl 1437.62237Schechtman, Edna; Schechtman, Gideon 1 2019 Three observations regarding Schatten \(p\) classes. Zbl 1424.47049Schechtman, Gideon 1 2016 Subspaces of \(L_p\) that embed into \(L_p(\mu)\) with \(\mu\) finite. Zbl 1315.46029Johnson, William B.; Schechtman, Gideon 1 2014 A quantitative version of the commutator theorem for zero trace matrices. Zbl 1297.15027Johnson, William B.; Ozawa, Narutaka; Schechtman, Gideon 1 2013 Tight embedding of subspaces of \(L_{p}\) in \(\ell_{p}^{n}\) for even \(p\). Zbl 1247.46013Schechtman, Gideon 1 2011 Stabilizing isomorphisms from \(\ell _{p}(\ell _{2})\) into \(L_{p} [0, 1]\). Zbl 1235.46026Levy, Ran; Schechtman, Gideon 1 2011 Extremal configurations for moments of sums of independent positive random variables. Zbl 1134.60317Schechtman, Gideon 1 2007 The shattering dimension of sets of linear functionals. Zbl 1045.60006Mendelson, Shahar; Schechtman, Gideon 1 2004 Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 2001–2002. Zbl 1009.00019Milman, V. D. (ed.); Schechtman, G. (ed.) 1 2003 Block bases of the Haar system as complemented subspaces of \(L_p\), \(2<p<\infty\). Zbl 1028.46030Kleper, Dvir; Schechtman, Gideon 1 2003 An editorial comment on the preceding paper. Zbl 0980.46005Schechtman, G. 1 2000 Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 1996–2000. Zbl 0949.00025Milman, V. D. (ed.); Schechtman, G. (ed.) 1 2000 Averages of norms and behavior of families of projective caps on the sphere. Zbl 0891.52002Litvak, A. E.; Milman, V. D.; Schechtman, G. 1 1997 Banach spaces with the 2-summing property. Zbl 0843.46007Arias, A.; Figiel, T.; Johnson, W. B.; Schechtman, G. 1 1995 A remark concerning the dependence on \(\epsilon\) in Dvoretzky’s theorem. Zbl 0679.46011Schechtman, Gideaon 1 1989 Positive definite forms generated by integrals and weak limits. Zbl 0541.46037Artstein, Zvi; Schechtman, Gideon 1 1983 On subspaces of \(L_ 1\) with maximal distances of Euclidean space. Zbl 0522.46014Johnson, W. B.; Schechtman, G. 1 1982 Levy type inequality for a class of finite metric spaces. Zbl 0512.46010Schechtman, Gideon 1 1982 Some remarks on symmetric basic sequences in \(L_1\). Zbl 0415.46025Maurey, B.; Schechtman, G. 1 1979 Ideals in \(L(L_1)\). Zbl 07159967Johnson, W. B.; Pisier, G.; Schechtman, G. 5 2020 The relationship between Gini terminology and the ROC curve. Zbl 1437.62237Schechtman, Edna; Schechtman, Gideon 1 2019 Impossibility of dimension reduction in the nuclear norm. Zbl 1412.46036Naor, Assaf; Pisier, Gilles; Schechtman, Gideon 2 2018 Pythagorean powers of hypercubes. Zbl 1364.46022Naor, Assaf; Schechtman, Gideon 4 2016 Metric \(X_{p}\) inequalities. Zbl 1344.46018Naor, Assaf; Schechtman, Gideon 4 2016 Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support. Zbl 1372.46017Johnson, William B.; Kania, Tomasz; Schechtman, Gideon 3 2016 Three observations regarding Schatten \(p\) classes. Zbl 1424.47049Schechtman, Gideon 1 2016 Injective Tauberian operators on \(L_1\) and operators with dense range on \(\ell_\infty\). Zbl 1330.47003Johnson, William; Nasseri, Amir Bahman; Schechtman, Gideon; Tkocz, Tomasz 3 2015 A Schauder basis for \(L_{1}(0,\infty)\) consisting of non-negative functions. Zbl 1345.46006Johnson, William B.; Schechtman, Gideon 2 2015 Narrow and \(\ell_2\)-strictly singular operators from \(L_p\). Zbl 1314.46024Mykhaylyuk, V.; Popov, M.; Randrianantoanina, B.; Schechtman, G. 3 2014 No greedy bases for matrix spaces with mixed \(\ell_p\) and \(\ell_q\) norms. Zbl 1308.46020Schechtman, Gideon 3 2014 Subspaces of \(L_p\) that embed into \(L_p(\mu)\) with \(\mu\) finite. Zbl 1315.46029Johnson, William B.; Schechtman, Gideon 1 2014 Commutators on \(L_p\), \(1\leq p <\infty\). Zbl 1278.47038Dosev, Detelin; Johnson, William B.; Schechtman, Gideon 10 2013 Euclidean sections of convex bodies. Zbl 1284.46013Schechtman, Gideon 7 2013 Matrix subspaces of \(L_1\). Zbl 1287.46025Schechtman, Gideon 2 2013 A quantitative version of the commutator theorem for zero trace matrices. Zbl 1297.15027Johnson, William B.; Ozawa, Narutaka; Schechtman, Gideon 1 2013 Bourgain’s discretization theorem. Zbl 1283.46015Giladi, Ohad; Naor, Assaf; Schechtman, Gideon 9 2012 Tight embedding of subspaces of \(L_{p}\) in \(\ell_{p}^{n}\) for even \(p\). Zbl 1247.46013Schechtman, Gideon 1 2011 Stabilizing isomorphisms from \(\ell _{p}(\ell _{2})\) into \(L_{p} [0, 1]\). Zbl 1235.46026Levy, Ran; Schechtman, Gideon 1 2011 The UGC hardness threshold of the \(L_{p}\) Grothendieck problem. Zbl 1216.68340Kindler, Guy; Naor, Assaf; Schechtman, Gideon 7 2010 Diamond graphs and super-reflexivity. Zbl 1183.46022Johnson, William B.; Schechtman, Gideon 24 2009 Non-linear factorization of linear operators. Zbl 1183.46021Johnson, W. B.; Maurey, B.; Schechtman, G. 5 2009 Lower bounds for local versions of dimension reductions. Zbl 1171.46008Schechtman, Gideon; Shraibman, Adi 5 2009 Multiplication operators on \(L(L_{p})\) and \(\ell_{p}\)-strictly singular operators. Zbl 1165.46010Johnson, William B.; Schechtman, Gideon 6 2008 Planar earthmover is not in \(L_1\). Zbl 1155.46005Naor, Assaf; Schechtman, Gideon 27 2007 Complexity measures of sign matrices. Zbl 1164.68006Linial, Nati; Mendelson, Shahar; Schechtman, Gideon; Shraibman, Adi 21 2007 The random version of Dvoretzky’s theorem in \(\ell_\infty^n\). Zbl 1183.46011Schechtman, G. 7 2007 Weakly null sequences in \(L_1\). Zbl 1125.46014Johnson, William B.; Maurey, Bernard; Schechtman, Gideon 6 2007 Extremal configurations for moments of sums of independent positive random variables. Zbl 1134.60317Schechtman, Gideon 1 2007 Two observations regarding embedding subsets of Euclidean spaces in normed spaces. Zbl 1108.46011Schechtman, Gideon 26 2006 Special orthogonal splittings of \(L_1^{2k}\). Zbl 1066.46010Schechtman, Gideon 11 2004 Several remarks concerning the local theory of \(L_p\) spaces. Zbl 1085.46006Johnson, W. B.; Schechtman, G. 2 2004 Graphs with tiny vector chromatic numbers and huge chromatic numbers. Zbl 1105.68088Feige, Uriel; Langberg, Michael; Schechtman, Gideon 2 2004 The shattering dimension of sets of linear functionals. Zbl 1045.60006Mendelson, Shahar; Schechtman, Gideon 1 2004 Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices. Zbl 1044.46018Cwikel, Michael; Nilsson, Per G.; Schechtman, Gideon 22 2003 Very tight embeddings of subspaces of \(L_p\), \(1 \leq p < 2\), into \(\ell^n_p\). Zbl 1036.46008Johnson, William B.; Schechtman, Gideon 8 2003 Concentration, results and applications. Zbl 1057.46011Schechtman, Gideon 7 2003 Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 2001–2002. Zbl 1009.00019Milman, V. D. (ed.); Schechtman, G. (ed.) 1 2003 Block bases of the Haar system as complemented subspaces of \(L_p\), \(2<p<\infty\). Zbl 1028.46030Kleper, Dvir; Schechtman, Gideon 1 2003 Almost Fréchet differentiability of Lipschitz mappings between infinite-dimensional Banach spaces. Zbl 1023.46046Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon 32 2002 Remarks on non linear type and Pisier’s inequality. Zbl 1033.46013Naor, Assaf; Schechtman, Gideon 18 2002 On the optimality of the random hyperplane rounding technique for MAX CUT. Zbl 1005.90052Feige, Uriel; Schechtman, Gideon 17 2002 Lipschitz quotients from metric trees and from Banach spaces containing \(\ell _{1}\). Zbl 1013.46012Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon 10 2002 On characterization of two-sample \(U\)-statistics. Zbl 0996.62004Schechtman, E.; Schechtman, G. 2 2002 Finite dimensional subspaces of \(L_p\). Zbl 1012.46012Johnson, William B.; Schechtman, Gideon 11 2001 Embedding subspaces on \(L_p\) into \(\ell_p^N, 0<p<1\). Zbl 1046.46011Schechtman, Gideon; Zvavitch, Artem 5 2001 On the integrality ratio of semidefinite relaxations of MAX CUT. Zbl 1323.68298Feige, Uriel; Schechtman, Gideon 2 2001 Concentration on the \(\ell_p^n\) ball. Zbl 0971.46009Schechtman, G.; Zinn, J. 15 2000 Uniform quotient mappings of the plane. Zbl 1004.54019Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G. 6 2000 Upper bounds on the height difference of the Gaussian random field and the range of random graph homomorphisms into \(\mathbb{Z}\). Zbl 0957.05098Benjamini, Itai; Schechtman, Gideon 4 2000 An editorial comment on the preceding paper. Zbl 0980.46005Schechtman, G. 1 2000 Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 1996–2000. Zbl 0949.00025Milman, V. D. (ed.); Schechtman, G. (ed.) 1 2000 Affine approximation of Lipschitz functions and nonlinear quotients. Zbl 0954.46014Bates, S.; Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G. 31 1999 An “isomorphic” version of Dvoretzky’s theorem. II. Zbl 0942.46012Milman, Vitali; Schechtman, Gideon 7 1999 Averages of norms and quasi-norms. Zbl 0920.46006Litvak, A. E.; Milman, V. D.; Schechtman, G. 32 1998 On the Gaussian measure of the intersection. Zbl 0936.60015Schechtman, G.; Schlumprecht, Th.; Zinn, J. 24 1998 Hypercontractivity and comparison of moments of iterated maxima and minima of independent random variables. Zbl 0889.60003Hitczenko, Paweł; Kwapień, Stanisław; Li, Wenbo V.; Schechtman, Gideon; Schlumprecht, Thomas; Zinn, Joel 7 1998 Global versus local asymptotic theories of finite-dimensional normed spaces. Zbl 0911.52002Milman, V. D.; Schechtman, G. 105 1997 Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities. Zbl 0867.60006Figiel, T.; Hitczenko, P.; Johnson, W. B.; Schechtman, G.; Zinn, J. 21 1997 Randomized approximation of bounded multicovering problems. Zbl 0873.68077Peleg, D.; Schechtman, G.; Wool, A. 8 1997 A remarkable rearrangement of the Haar system in \(L_{p}\). Zbl 0883.46021Müller, Paul F. X.; Schechtman, Gideon 2 1997 Averages of norms and behavior of families of projective caps on the sphere. Zbl 0891.52002Litvak, A. E.; Milman, V. D.; Schechtman, G. 1 1997 Banach spaces determined by their uniform structures. Zbl 0864.46008Johnson, W. B.; Lindenstrauss, J.; Schechtman, G. 29 1996 A concentration inequality for harmonic measures on the sphere. Zbl 0840.31012Schechtman, G.; Schmuckenschläger, M. 10 1995 An “isomorphic” version of Dvoretzky’s theorem. Zbl 0836.46007Milman, Vitali D.; Schechtman, Gideon 7 1995 Banach spaces with the 2-summing property. Zbl 0843.46007Arias, A.; Figiel, T.; Johnson, W. B.; Schechtman, G. 1 1995 The Lyapunov theorem for \(\ell_ p\)-valued measures. Zbl 0804.46048Kadets, V. M.; Shekhtman, G. 4 1992 Another remark on the volume of the intersection of two \(\ell^ n_ p\) balls. Zbl 0776.46013Schechtman, G.; Schmuckenschläger, M. 10 1991 Remarks on Talagrand’s deviation inequality for Rademacher functions. Zbl 0753.60024Johnson, William B.; Schechtman, Gideon 8 1991 Several results concerning unconditionality in vector valued \(L^ p\) and \(H^ 1({\mathcal F}_ n)\) spaces. Zbl 0723.46029Müller, Paul F. X.; Schechtman, Gideon 2 1991 Factorizations of natural embeddings of \(\ell^ n_ p\) into \(L_ r\). II. Zbl 0764.46018Figiel, T.; Johnson, W. B.; Schechtman, G. 2 1991 On the distance of subspaces of \(\ell_ p^ n\) to \(\ell_ p^ k\). Zbl 0758.46023Johnson, William B.; Schechtman, Gideon 2 1991 On the volume of the intersection of two \(L^ n_ p\) balls. Zbl 0704.60017Schechtman, G.; Zinn, J. 45 1990 Sums of independent random variables in rearrangement invariant function spaces. Zbl 0674.60051Johnson, William B.; Schechtman, G. 45 1989 Martingale inequalities in rearrangement invariant function spaces. Zbl 0672.60049Johnson, W. B.; Schechtman, G. 20 1989 On complemented subspaces of \(H^ 1\) and VMO. Zbl 0687.46014Müller, Paul F. X.; Schechtman, Gideon 2 1989 A remark concerning the dependence on \(\epsilon\) in Dvoretzky’s theorem. Zbl 0679.46011Schechtman, Gideaon 1 1989 Factorizations of natural embeddings of \(\ell ^ n_ p\) into \(L_ r\). I. Zbl 0671.46009Figiel, T.; Johnson, W. B.; Schechtman, G. 5 1988 Random sign embeddings from \(\ell ^ n_ r\), \(2<r<\infty\). Zbl 0655.46016Figiel, T.; Johnson, W. B.; Schechtman, G. 4 1988 More on embedding subspaces of \(L_ p\) in \(l^ n_ r\). Zbl 0659.46021Schechtman, Gideon 12 1987 On Lipschitz embedding of finite metric spaces in low dimensional normed spaces. Zbl 0631.46016Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon 7 1987 Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds. Zbl 0606.46013Milman, Vitali D.; Schechtman, Gideon 303 1986 Extensions of Lipschitz maps into Banach spaces. Zbl 0626.46007Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon 30 1986 Best constants in moment inequalities for linear combinations of independent and exchangeable random variables. Zbl 0564.60020Johnson, W. B.; Schechtman, G.; Zinn, J. 63 1985 Fine embeddings of finite dimensional subspaces of \(L_ p\), \(1\leq p<2\), into \(\ell ^ m_ 1\). Zbl 0597.46019Schechtman, Gideon 2 1985 Positive definite forms generated by integrals and weak limits. Zbl 0541.46037Artstein, Zvi; Schechtman, Gideon 1 1983 Embedding \(l_ p^ m\) into \(l_ 1^ n\). Zbl 0522.46015Johnson, William B.; Schechtman, Gideon 14 1982 On commuting families of nonexpansive operators. Zbl 0516.47030Schechtman, Gideon 3 1982 On subspaces of \(L_ 1\) with maximal distances of Euclidean space. Zbl 0522.46014Johnson, W. B.; Schechtman, G. 1 1982 Levy type inequality for a class of finite metric spaces. Zbl 0512.46010Schechtman, Gideon 1 1982 An ordinal \(L^p\)-index for Banach spaces, with application to complemented subspaces of \(L^p\). Zbl 0496.46010Bourgain, J.; Rosenthal, H. P.; Schechtman, G. 15 1981 Random embeddings of Euclidean spaces in sequence spaces. Zbl 0474.46004Schechtman, Gideon 7 1981 On the relation between several notions of unconditional structure. Zbl 0488.46012Johnson, W. B.; Lindenstrauss, J.; Schechtman, G. 11 1980 Symmetric structures in Banach spaces. Zbl 0421.46023Johnson, W. B.; Maurey, B.; Schechtman, G.; Tzafriri, L. 99 1979 Almost isometric \(L_p\) subspaces of \(L_p(0,1)\). Zbl 0415.46029Schechtman, Gideon 4 1979 Some remarks on symmetric basic sequences in \(L_1\). Zbl 0415.46025Maurey, B.; Schechtman, G. 1 1979 On Pelczynski’s paper ’Universal bases’. Zbl 0316.46014Schechtman, Gideon 5 1976 Examples of \(\mathcal L_p\) spaces \((1<p\neq 2<\infty)\). Zbl 0316.46018Schechtman, G. 6 1975 A remark on unconditional basic sequences in \(L_p\) (\(1<p<\infty\)). Zbl 0306.46035Schechtman, G. 6 1975 Complemented subspaces of \((\ell_2\oplus\ell_2\oplus\dots)_p\) \(1<p<\infty\) with an unconditional basis. Zbl 0312.46025Schechtman, G. 2 1975 all cited Publications top 5 cited Publications all top 5 Cited by 1,047 Authors 35 Naor, Assaf 34 Astashkin, Sergeĭ Vladimir 32 Schechtman, Gideon 22 Paouris, Grigoris 21 Johnson, William Buhmann 20 Milman, Vitali D. 20 Sukochev, Fedor Anatol’evich 20 Tomczak-Jaegermann, Nicole 17 Mendelson, Shahar 17 Prochno, Joscha 14 Giannopoulos, Apostolos A. 14 Kalton, Nigel John 14 Litvak, Aleksandr Evgen’evich 13 Alonso-Gutiérrez, David 12 Junge, Marius 12 Ostrovskii, Mikhail Iosifovich 11 Dilworth, Stephen J. 11 Hernández Rodriguez, Francisco L. 11 Klartag, Bo’az 10 Bourgain, Jean 10 Jiao, Yong 10 Odell, Edward 10 Schlumprecht, Thomas 10 Tradacete Pérez, Pedro 10 Vershynin, Roman 9 Guédon, Olivier 9 Pajor, Alain 9 Thäle, Christoph 9 Tikhomirov, Konstantin E. 8 Kabluchko, Zakhar A. 8 Kutzarova, Denka N. 8 Lancien, Gilles 8 Maligranda, Lech 8 Mendel, Manor 8 Milman, Emanuel 8 Szarek, Stanislaw Jerzy 8 Valettas, Petros 8 Zanin, Dmitriy V. 7 Bobkov, Sergey Germanovich 7 Causey, Ryan Michael 7 Gordon, Yehoram 7 Lee, James R. 7 Maleva, Olga 7 Müller, Paul F. X. 7 Pestov, Vladimir G. 7 Werner, Elisabeth M. 7 Zheng, Bentuo 6 Barthe, Franck 6 Cúth, Marek 6 Eskenazis, Alexandros 6 Götze, Friedrich W. 6 Matoušek, Jiří 6 Pisier, Gilles 6 Rudelson, Mark 6 Semënov, Evgeniĭ Mikhaĭlovich 6 Tsolomitis, Antonis 6 Wojtaszczyk, Przemyslaw 5 Albiac, Fernando 5 Boche, Holger 5 El Ouali, Mourad 5 Friedland, Omer 5 Godefroy, Gilles 5 González Ortiz, Manuel 5 Ledoux, Michel 5 Leśnik, Karol 5 Lindenstrauss, Joram 5 Linial, Nathan 5 Pivovarov, Peter 5 Randrianantoanina, Beata 5 Richter, Wolf-Dieter 5 Schmuckenschläger, Michael 5 Schütt, Carsten 5 Srivastav, Anand 5 Swanepoel, Konrad J. 5 Villa, Rafael 5 Wu, Lian 5 Zvavitch, Artem 4 Ansorena, José Luis 4 Artstein-Avidan, Shiri 4 Ball, Keith Martin 4 Bastero, Jesús 4 Bernués, Julio 4 Braverman, Michael Sh. 4 Carothers, Neal L. 4 Doucha, Michal 4 Figiel, Tadeusz 4 Flores, Julio 4 Fresen, Daniel J. 4 Gluskin, Efim D. 4 Hájek, Petr 4 Hinrichs, Aicke 4 Hitczenko, Paweł 4 Kania, Tomasz 4 Khot, Subhash Ajit 4 Koldobsky, Alexander L. 4 Laustsen, Niels Jakob 4 Lechner, Richard 4 Ma, Yutao 4 Maggi, Francesco 4 Mastyło, Mieczysław ...and 947 more Authors all top 5 Cited in 225 Serials 108 Israel Journal of Mathematics 83 Journal of Functional Analysis 61 Proceedings of the American Mathematical Society 41 Journal of Mathematical Analysis and Applications 34 Advances in Mathematics 26 The Annals of Probability 26 Transactions of the American Mathematical Society 19 Statistics & Probability Letters 18 Discrete & Computational Geometry 18 Positivity 16 Probability Theory and Related Fields 15 Communications in Mathematical Physics 13 Journal of Approximation Theory 13 Mathematische Annalen 13 Journal of Theoretical Probability 13 Geometric and Functional Analysis. GAFA 12 Studia Mathematica 10 Mathematika 9 Stochastic Processes and their Applications 8 Inventiones Mathematicae 8 Mathematische Nachrichten 8 Mathematische Zeitschrift 8 Siberian Mathematical Journal 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Journal of Mathematical Sciences (New York) 7 Mathematical Notes 7 Acta Mathematica 7 Compositio Mathematica 7 Duke Mathematical Journal 7 The Journal of Geometric Analysis 7 Bulletin of the American Mathematical Society. New Series 7 St. Petersburg Mathematical Journal 6 Journal of Mathematical Physics 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 The Annals of Statistics 6 Functional Analysis and its Applications 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Journal of Complexity 6 Journal of the American Mathematical Society 6 Bernoulli 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Theory of Probability and its Applications 5 Journal of Combinatorial Theory. Series A 5 Combinatorica 5 Annals of Mathematics. Second Series 5 Journal of the European Mathematical Society (JEMS) 5 Electronic Journal of Statistics 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Rocky Mountain Journal of Mathematics 4 Annales de l’Institut Fourier 4 Archiv der Mathematik 4 Geometriae Dedicata 4 Journal of Multivariate Analysis 4 Quaestiones Mathematicae 4 Theoretical Computer Science 4 Topology and its Applications 4 Advances in Applied Mathematics 4 Acta Mathematica Hungarica 4 Constructive Approximation 4 Algorithmica 4 The Annals of Applied Probability 4 Mathematical Programming. Series A. Series B 4 Computational Complexity 4 Combinatorics, Probability and Computing 4 Analysis and Geometry in Metric Spaces 3 Archive for Rational Mechanics and Analysis 3 Applied Mathematics and Computation 3 Bulletin of the London Mathematical Society 3 Publications Mathématiques 3 Integral Equations and Operator Theory 3 SIAM Journal on Computing 3 European Journal of Combinatorics 3 Stochastic Analysis and Applications 3 European Journal of Operational Research 3 Linear Algebra and its Applications 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Potential Analysis 3 Journal of the ACM 3 Communications in Contemporary Mathematics 3 Advances in Geometry 3 Quantum Information Processing 3 Mediterranean Journal of Mathematics 3 Banach Journal of Mathematical Analysis 3 Journal of Topology and Analysis 2 Bulletin of the Australian Mathematical Society 2 Discrete Mathematics 2 Information Processing Letters 2 Journal of Statistical Physics 2 Lithuanian Mathematical Journal 2 Arkiv för Matematik 2 Calcolo 2 Canadian Mathematical Bulletin 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematics of Operations Research 2 Results in Mathematics 2 Operations Research Letters 2 Acta Applicandae Mathematicae 2 Random Structures & Algorithms ...and 125 more Serials all top 5 Cited in 49 Fields 547 Functional analysis (46-XX) 311 Probability theory and stochastic processes (60-XX) 173 Convex and discrete geometry (52-XX) 116 Operator theory (47-XX) 70 Combinatorics (05-XX) 68 Computer science (68-XX) 57 Statistics (62-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 43 General topology (54-XX) 42 Real functions (26-XX) 35 Differential geometry (53-XX) 33 Information and communication theory, circuits (94-XX) 32 Functions of a complex variable (30-XX) 32 Operations research, mathematical programming (90-XX) 31 Measure and integration (28-XX) 30 Quantum theory (81-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 25 Approximations and expansions (41-XX) 22 Geometry (51-XX) 20 Numerical analysis (65-XX) 16 Abstract harmonic analysis (43-XX) 15 Topological groups, Lie groups (22-XX) 14 Partial differential equations (35-XX) 14 Statistical mechanics, structure of matter (82-XX) 11 Group theory and generalizations (20-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Number theory (11-XX) 10 Dynamical systems and ergodic theory (37-XX) 6 Mathematical logic and foundations (03-XX) 6 Algebraic topology (55-XX) 6 Manifolds and cell complexes (57-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Difference and functional equations (39-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral equations (45-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Potential theory (31-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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