## Schechtman, Gideon

Compute Distance To:
 Author ID: schechtman.gideon Published as: Schechtman, Gideon; Schechtman, G.; Schechtman, Gideaon; Shekhtman, G. more...less Homepage: http://www.wisdom.weizmann.ac.il/~/gideon/ External Links: MGP · Wikidata
 Documents Indexed: 122 Publications since 1975, including 3 Books 6 Contributions as Editor Reviewing Activity: 12 Reviews Co-Authors: 51 Co-Authors with 96 Joint Publications 1,524 Co-Co-Authors
all top 5

### Co-Authors

 32 single-authored 40 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 Artstein, Zvi 1 Bastero, Jesús 1 Benjamini, Itai 1 Benyamini, Yoav 1 Cwikel, Michael 1 Dosev, Detelin T. 1 Ghoussoub, Nassif A. 1 Giladi, Ohad 1 Gromov, Mikhael Leonidovich 1 Heiman, Eyal 1 Kadets, Vladimir M. 1 Kania, Tomasz 1 Kleper, Dvir 1 Kwapień, Stanisław 1 Langberg, Michael 1 Levy, Ran 1 Li, Wenbo V. 1 Lindenstrauss, Ayelet 1 Lindenstrauss, Elon 1 Linial, Nathan 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 Acta Mathematica 2 Bulletin of the London Mathematical Society 2 Compositio Mathematica 2 Illinois Journal of Mathematics 2 Journal of Functional Analysis 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 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 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

 100 Functional analysis (46-XX) 21 Operator theory (47-XX) 20 Probability theory and stochastic processes (60-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)

### Citations contained in zbMATH Open

102 Publications have been cited 1,457 times in 1,130 Documents Cited by Year
Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds. Zbl 0606.46013
Milman, Vitali D.; Schechtman, Gideon
1986
Global versus local asymptotic theories of finite-dimensional normed spaces. Zbl 0911.52002
Milman, V. D.; Schechtman, G.
1997
Symmetric structures in Banach spaces. Zbl 0421.46023
Johnson, W. B.; Maurey, B.; Schechtman, G.; Tzafriri, L.
1979
Best constants in moment inequalities for linear combinations of independent and exchangeable random variables. Zbl 0564.60020
Johnson, W. B.; Schechtman, G.; Zinn, J.
1985
On the volume of the intersection of two $$L^ n_ p$$ balls. Zbl 0704.60017
Schechtman, G.; Zinn, J.
1990
Sums of independent random variables in rearrangement invariant function spaces. Zbl 0674.60051
Johnson, William B.; Schechtman, G.
1989
Extensions of Lipschitz maps into Banach spaces. Zbl 0626.46007
Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon
1986
Almost Fréchet differentiability of Lipschitz mappings between infinite-dimensional Banach spaces. Zbl 1023.46046
Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon
2002
Affine approximation of Lipschitz functions and nonlinear quotients. Zbl 0954.46014
Bates, S.; Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G.
1999
Averages of norms and quasi-norms. Zbl 0920.46006
Litvak, A. E.; Milman, V. D.; Schechtman, G.
1998
Banach spaces determined by their uniform structures. Zbl 0864.46008
Johnson, W. B.; Lindenstrauss, J.; Schechtman, G.
1996
Planar earthmover is not in $$L_1$$. Zbl 1155.46005
Naor, Assaf; Schechtman, Gideon
2007
Diamond graphs and super-reflexivity. Zbl 1183.46022
Johnson, William B.; Schechtman, Gideon
2009
Two observations regarding embedding subsets of Euclidean spaces in normed spaces. Zbl 1108.46011
Schechtman, Gideon
2006
On the Gaussian measure of the intersection. Zbl 0936.60015
Schechtman, G.; Schlumprecht, Th.; Zinn, J.
1998
Complexity measures of sign matrices. Zbl 1164.68006
Linial, Nati; Mendelson, Shahar; Schechtman, Gideon; Shraibman, Adi
2007
Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities. Zbl 0867.60006
Figiel, T.; Hitczenko, P.; Johnson, W. B.; Schechtman, G.; Zinn, J.
1997
Martingale inequalities in rearrangement invariant function spaces. Zbl 0672.60049
Johnson, W. B.; Schechtman, G.
1989
Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices. Zbl 1044.46018
Cwikel, Michael; Nilsson, Per G.; Schechtman, Gideon
2003
Remarks on non linear type and Pisier’s inequality. Zbl 1033.46013
Naor, Assaf; Schechtman, Gideon
2002
On the optimality of the random hyperplane rounding technique for MAX CUT. Zbl 1005.90052
Feige, Uriel; Schechtman, Gideon
2002
Concentration on the $$\ell_p^n$$ ball. Zbl 0971.46009
Schechtman, G.; Zinn, J.
2000
An ordinal $$L^p$$-index for Banach spaces, with application to complemented subspaces of $$L^p$$. Zbl 0496.46010
Bourgain, J.; Rosenthal, H. P.; Schechtman, G.
1981
Finite dimensional subspaces of $$L_p$$. Zbl 1012.46012
Johnson, William B.; Schechtman, Gideon
2001
Embedding $$l_ p^ m$$ into $$l_ 1^ n$$. Zbl 0522.46015
Johnson, William B.; Schechtman, Gideon
1982
Another remark on the volume of the intersection of two $$\ell^ n_ p$$ balls. Zbl 0776.46013
Schechtman, G.; Schmuckenschläger, M.
1991
More on embedding subspaces of $$L_ p$$ in $$l^ n_ r$$. Zbl 0659.46021
Schechtman, Gideon
1987
Special orthogonal splittings of $$L_1^{2k}$$. Zbl 1066.46010
Schechtman, Gideon
2004
On the relation between several notions of unconditional structure. Zbl 0488.46012
Johnson, W. B.; Lindenstrauss, J.; Schechtman, G.
1980
Commutators on $$L_p$$, $$1\leq p <\infty$$. Zbl 1278.47038
Dosev, Detelin; Johnson, William B.; Schechtman, Gideon
2013
Bourgain’s discretization theorem. Zbl 1283.46015
2012
Randomized approximation of bounded multicovering problems. Zbl 0873.68077
Peleg, D.; Schechtman, G.; Wool, A.
1997
Lipschitz quotients from metric trees and from Banach spaces containing $$\ell _{1}$$. Zbl 1013.46012
Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon
2002
A concentration inequality for harmonic measures on the sphere. Zbl 0840.31012
Schechtman, G.; Schmuckenschläger, M.
1995
Remarks on Talagrand’s deviation inequality for Rademacher functions. Zbl 0753.60024
Johnson, William B.; Schechtman, Gideon
1991
The UGC hardness threshold of the $$L_{p}$$ Grothendieck problem. Zbl 1216.68340
Kindler, Guy; Naor, Assaf; Schechtman, Gideon
2010
Euclidean sections of convex bodies. Zbl 1284.46013
Schechtman, Gideon
2013
The random version of Dvoretzky’s theorem in $$\ell_\infty^n$$. Zbl 1183.46011
Schechtman, G.
2007
Very tight embeddings of subspaces of $$L_p$$, $$1 \leq p < 2$$, into $$\ell^n_p$$. Zbl 1036.46008
Johnson, William B.; Schechtman, Gideon
2003
An “isomorphic” version of Dvoretzky’s theorem. Zbl 0836.46007
Milman, Vitali D.; Schechtman, Gideon
1995
Examples of $$\mathcal L_p$$ spaces $$(1<p\neq 2<\infty)$$. Zbl 0316.46018
Schechtman, G.
1975
Embedding subspaces on $$L_p$$ into $$\ell_p^N, 0<p<1$$. Zbl 1046.46011
Schechtman, Gideon; Zvavitch, Artem
2001
Uniform quotient mappings of the plane. Zbl 1004.54019
Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G.
2000
Weakly null sequences in $$L_1$$. Zbl 1125.46014
Johnson, William B.; Maurey, Bernard; Schechtman, Gideon
2007
An “isomorphic” version of Dvoretzky’s theorem. II. Zbl 0942.46012
Milman, Vitali; Schechtman, Gideon
1999
Non-linear factorization of linear operators. Zbl 1183.46021
Johnson, W. B.; Maurey, B.; Schechtman, G.
2009
Hypercontractivity and comparison of moments of iterated maxima and minima of independent random variables. Zbl 0889.60003
Hitczenko, Paweł; Kwapień, Stanisław; Li, Wenbo V.; Schechtman, Gideon; Schlumprecht, Thomas; Zinn, Joel
1998
Random embeddings of Euclidean spaces in sequence spaces. Zbl 0474.46004
Schechtman, Gideon
1981
Concentration, results and applications. Zbl 1057.46011
Schechtman, Gideon
2003
Ideals in $$L(L_1)$$. Zbl 1485.47123
Johnson, W. B.; Pisier, G.; Schechtman, G.
2020
A remark on unconditional basic sequences in $$L_p$$ ($$1<p<\infty$$). Zbl 0306.46035
Schechtman, G.
1975
On Lipschitz embedding of finite metric spaces in low dimensional normed spaces. Zbl 0631.46016
Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon
1987
Almost isometric $$L_p$$ subspaces of $$L_p(0,1)$$. Zbl 0415.46029
Schechtman, Gideon
1979
Multiplication operators on $$L(L_{p})$$ and $$\ell_{p}$$-strictly singular operators. Zbl 1165.46010
Johnson, William B.; Schechtman, Gideon
2008
Lower bounds for local versions of dimension reductions. Zbl 1171.46008
2009
Factorizations of natural embeddings of $$\ell ^ n_ p$$ into $$L_ r$$. I. Zbl 0671.46009
Figiel, T.; Johnson, W. B.; Schechtman, G.
1988
Metric $$X_{p}$$ inequalities. Zbl 1344.46018
Naor, Assaf; Schechtman, Gideon
2016
A Schauder basis for $$L_{1}(0,\infty)$$ consisting of non-negative functions. Zbl 1345.46006
Johnson, William B.; Schechtman, Gideon
2015
On Pelczynski’s paper ’Universal bases’. Zbl 0316.46014
Schechtman, Gideon
1976
Pythagorean powers of hypercubes. (Puissances pythagoriciennes des hypercubes.) Zbl 1364.46022
Naor, Assaf; Schechtman, Gideon
2016
Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support. Zbl 1372.46017
Johnson, William B.; Kania, Tomasz; Schechtman, Gideon
2016
Random sign embeddings from $$\ell ^ n_ r$$, $$2<r<\infty$$. Zbl 0655.46016
Figiel, T.; Johnson, W. B.; Schechtman, G.
1988
The Lyapunov theorem for $$\ell_ p$$-valued measures. Zbl 0804.46048
1992
Narrow and $$\ell_2$$-strictly singular operators from $$L_p$$. Zbl 1314.46024
Mykhaylyuk, V.; Popov, M.; Randrianantoanina, B.; Schechtman, G.
2014
Injective Tauberian operators on $$L_1$$ and operators with dense range on $$\ell_\infty$$. Zbl 1330.47003
Johnson, William; Nasseri, Amir Bahman; Schechtman, Gideon; Tkocz, Tomasz
2015
Upper bounds on the height difference of the Gaussian random field and the range of random graph homomorphisms into $$\mathbb{Z}$$. Zbl 0957.05098
Benjamini, Itai; Schechtman, Gideon
2000
Tight embedding of subspaces of $$L_{p}$$ in $$\ell_{p}^{n}$$ for even $$p$$. Zbl 1247.46013
Schechtman, Gideon
2011
No greedy bases for matrix spaces with mixed $$\ell_p$$ and $$\ell_q$$ norms. Zbl 1308.46020
Schechtman, Gideon
2014
Fine embeddings of finite dimensional subspaces of $$L_ p$$, $$1\leq p<2$$, into $$\ell ^ m_ 1$$. Zbl 0597.46019
Schechtman, Gideon
1985
On the integrality ratio of semidefinite relaxations of MAX CUT. Zbl 1323.68298
Feige, Uriel; Schechtman, Gideon
2001
Graphs with tiny vector chromatic numbers and huge chromatic numbers. Zbl 1105.68088
Feige, Uriel; Langberg, Michael; Schechtman, Gideon
2004
On commuting families of nonexpansive operators. Zbl 0516.47030
Schechtman, Gideon
1982
Several remarks concerning the local theory of $$L_p$$ spaces. Zbl 1085.46006
Johnson, W. B.; Schechtman, G.
2004
Deterministic algorithms for matrix completion. Zbl 1306.15027
Heiman, Eyal; Schechtman, Gideon; Shraibman, Adi
2014
Several results concerning unconditionality in vector valued $$L^ p$$ and $$H^ 1({\mathcal F}_ n)$$ spaces. Zbl 0723.46029
Müller, Paul F. X.; Schechtman, Gideon
1991
Complemented subspaces of $$(\ell_2\oplus\ell_2\oplus\dots)_p$$ $$1<p<\infty$$ with an unconditional basis. Zbl 0312.46025
Schechtman, G.
1975
On the distance of subspaces of $$\ell_ p^ n$$ to $$\ell_ p^ k$$. Zbl 0758.46023
Johnson, William B.; Schechtman, Gideon
1991
Factorizations of natural embeddings of $$\ell^ n_ p$$ into $$L_ r$$. II. Zbl 0764.46018
Figiel, T.; Johnson, W. B.; Schechtman, G.
1991
On characterization of two-sample $$U$$-statistics. Zbl 0996.62004
Schechtman, E.; Schechtman, G.
2002
Subspaces of $$L_p$$ that embed into $$L_p(\mu)$$ with $$\mu$$ finite. Zbl 1315.46029
Johnson, William B.; Schechtman, Gideon
2014
A remarkable rearrangement of the Haar system in $$L_{p}$$. Zbl 0883.46021
Müller, Paul F. X.; Schechtman, Gideon
1997
Matrix subspaces of $$L_1$$. Zbl 1287.46025
Schechtman, Gideon
2013
Impossibility of dimension reduction in the nuclear norm. Zbl 1412.46036
Naor, Assaf; Pisier, Gilles; Schechtman, Gideon
2018
Banach spaces with the 2-summing property. Zbl 0843.46007
Arias, A.; Figiel, T.; Johnson, W. B.; Schechtman, G.
1995
An editorial comment on the preceding paper. Zbl 0980.46005
Schechtman, G.
2000
Block bases of the Haar system as complemented subspaces of $$L_p$$, $$2<p<\infty$$. Zbl 1028.46030
Kleper, Dvir; Schechtman, Gideon
2003
Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 2001–2002. Zbl 1009.00019
2003
Three observations regarding Schatten $$p$$ classes. Zbl 1424.47049
Schechtman, Gideon
2016
A remark concerning the dependence on $$\epsilon$$ in Dvoretzky’s theorem. Zbl 0679.46011
Schechtman, Gideaon
1989
The shattering dimension of sets of linear functionals. Zbl 1045.60006
Mendelson, Shahar; Schechtman, Gideon
2004
Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 1996–2000. Zbl 0949.00025
2000
Averages of norms and behavior of families of projective caps on the sphere. Zbl 0891.52002
Litvak, A. E.; Milman, V. D.; Schechtman, G.
1997
Levy type inequality for a class of finite metric spaces. Zbl 0512.46010
Schechtman, Gideon
1982
On subspaces of $$L_ 1$$ with maximal distances of Euclidean space. Zbl 0522.46014
Johnson, W. B.; Schechtman, G.
1982
Positive definite forms generated by integrals and weak limits. Zbl 0541.46037
Artstein, Zvi; Schechtman, Gideon
1983
Stabilizing isomorphisms from $$\ell _{p}(\ell _{2})$$ into $$L_{p} [0, 1]$$. Zbl 1235.46026
Levy, Ran; Schechtman, Gideon
2011
Some remarks on symmetric basic sequences in $$L_1$$. Zbl 0415.46025
Maurey, B.; Schechtman, G.
1979
Approximate Gaussian isoperimetry for $$k$$ sets. Zbl 1264.60011
Schechtman, Gideon
2012
A quantitative version of the commutator theorem for zero trace matrices. Zbl 1297.15027
Johnson, William B.; Ozawa, Narutaka; Schechtman, Gideon
2013
On complemented subspaces of $$H^ 1$$ and VMO. Zbl 0687.46014
Müller, Paul F. X.; Schechtman, Gideon
1989
Ideals in $$L(L_1)$$. Zbl 1485.47123
Johnson, W. B.; Pisier, G.; Schechtman, G.
2020
The relationship between Gini terminology and the ROC curve. Zbl 1437.62237
Schechtman, Edna; Schechtman, Gideon
2019
Impossibility of dimension reduction in the nuclear norm. Zbl 1412.46036
Naor, Assaf; Pisier, Gilles; Schechtman, Gideon
2018
Metric $$X_{p}$$ inequalities. Zbl 1344.46018
Naor, Assaf; Schechtman, Gideon
2016
Pythagorean powers of hypercubes. (Puissances pythagoriciennes des hypercubes.) Zbl 1364.46022
Naor, Assaf; Schechtman, Gideon
2016
Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support. Zbl 1372.46017
Johnson, William B.; Kania, Tomasz; Schechtman, Gideon
2016
Three observations regarding Schatten $$p$$ classes. Zbl 1424.47049
Schechtman, Gideon
2016
A Schauder basis for $$L_{1}(0,\infty)$$ consisting of non-negative functions. Zbl 1345.46006
Johnson, William B.; Schechtman, Gideon
2015
Injective Tauberian operators on $$L_1$$ and operators with dense range on $$\ell_\infty$$. Zbl 1330.47003
Johnson, William; Nasseri, Amir Bahman; Schechtman, Gideon; Tkocz, Tomasz
2015
Narrow and $$\ell_2$$-strictly singular operators from $$L_p$$. Zbl 1314.46024
Mykhaylyuk, V.; Popov, M.; Randrianantoanina, B.; Schechtman, G.
2014
No greedy bases for matrix spaces with mixed $$\ell_p$$ and $$\ell_q$$ norms. Zbl 1308.46020
Schechtman, Gideon
2014
Deterministic algorithms for matrix completion. Zbl 1306.15027
Heiman, Eyal; Schechtman, Gideon; Shraibman, Adi
2014
Subspaces of $$L_p$$ that embed into $$L_p(\mu)$$ with $$\mu$$ finite. Zbl 1315.46029
Johnson, William B.; Schechtman, Gideon
2014
Commutators on $$L_p$$, $$1\leq p <\infty$$. Zbl 1278.47038
Dosev, Detelin; Johnson, William B.; Schechtman, Gideon
2013
Euclidean sections of convex bodies. Zbl 1284.46013
Schechtman, Gideon
2013
Matrix subspaces of $$L_1$$. Zbl 1287.46025
Schechtman, Gideon
2013
A quantitative version of the commutator theorem for zero trace matrices. Zbl 1297.15027
Johnson, William B.; Ozawa, Narutaka; Schechtman, Gideon
2013
Bourgain’s discretization theorem. Zbl 1283.46015
2012
Approximate Gaussian isoperimetry for $$k$$ sets. Zbl 1264.60011
Schechtman, Gideon
2012
Tight embedding of subspaces of $$L_{p}$$ in $$\ell_{p}^{n}$$ for even $$p$$. Zbl 1247.46013
Schechtman, Gideon
2011
Stabilizing isomorphisms from $$\ell _{p}(\ell _{2})$$ into $$L_{p} [0, 1]$$. Zbl 1235.46026
Levy, Ran; Schechtman, Gideon
2011
The UGC hardness threshold of the $$L_{p}$$ Grothendieck problem. Zbl 1216.68340
Kindler, Guy; Naor, Assaf; Schechtman, Gideon
2010
Diamond graphs and super-reflexivity. Zbl 1183.46022
Johnson, William B.; Schechtman, Gideon
2009
Non-linear factorization of linear operators. Zbl 1183.46021
Johnson, W. B.; Maurey, B.; Schechtman, G.
2009
Lower bounds for local versions of dimension reductions. Zbl 1171.46008
2009
Multiplication operators on $$L(L_{p})$$ and $$\ell_{p}$$-strictly singular operators. Zbl 1165.46010
Johnson, William B.; Schechtman, Gideon
2008
Planar earthmover is not in $$L_1$$. Zbl 1155.46005
Naor, Assaf; Schechtman, Gideon
2007
Complexity measures of sign matrices. Zbl 1164.68006
Linial, Nati; Mendelson, Shahar; Schechtman, Gideon; Shraibman, Adi
2007
The random version of Dvoretzky’s theorem in $$\ell_\infty^n$$. Zbl 1183.46011
Schechtman, G.
2007
Weakly null sequences in $$L_1$$. Zbl 1125.46014
Johnson, William B.; Maurey, Bernard; Schechtman, Gideon
2007
Extremal configurations for moments of sums of independent positive random variables. Zbl 1134.60317
Schechtman, Gideon
2007
Two observations regarding embedding subsets of Euclidean spaces in normed spaces. Zbl 1108.46011
Schechtman, Gideon
2006
Special orthogonal splittings of $$L_1^{2k}$$. Zbl 1066.46010
Schechtman, Gideon
2004
Graphs with tiny vector chromatic numbers and huge chromatic numbers. Zbl 1105.68088
Feige, Uriel; Langberg, Michael; Schechtman, Gideon
2004
Several remarks concerning the local theory of $$L_p$$ spaces. Zbl 1085.46006
Johnson, W. B.; Schechtman, G.
2004
The shattering dimension of sets of linear functionals. Zbl 1045.60006
Mendelson, Shahar; Schechtman, Gideon
2004
Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices. Zbl 1044.46018
Cwikel, Michael; Nilsson, Per G.; Schechtman, Gideon
2003
Very tight embeddings of subspaces of $$L_p$$, $$1 \leq p < 2$$, into $$\ell^n_p$$. Zbl 1036.46008
Johnson, William B.; Schechtman, Gideon
2003
Concentration, results and applications. Zbl 1057.46011
Schechtman, Gideon
2003
Block bases of the Haar system as complemented subspaces of $$L_p$$, $$2<p<\infty$$. Zbl 1028.46030
Kleper, Dvir; Schechtman, Gideon
2003
Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 2001–2002. Zbl 1009.00019
2003
Almost Fréchet differentiability of Lipschitz mappings between infinite-dimensional Banach spaces. Zbl 1023.46046
Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon
2002
Remarks on non linear type and Pisier’s inequality. Zbl 1033.46013
Naor, Assaf; Schechtman, Gideon
2002
On the optimality of the random hyperplane rounding technique for MAX CUT. Zbl 1005.90052
Feige, Uriel; Schechtman, Gideon
2002
Lipschitz quotients from metric trees and from Banach spaces containing $$\ell _{1}$$. Zbl 1013.46012
Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon
2002
On characterization of two-sample $$U$$-statistics. Zbl 0996.62004
Schechtman, E.; Schechtman, G.
2002
Finite dimensional subspaces of $$L_p$$. Zbl 1012.46012
Johnson, William B.; Schechtman, Gideon
2001
Embedding subspaces on $$L_p$$ into $$\ell_p^N, 0<p<1$$. Zbl 1046.46011
Schechtman, Gideon; Zvavitch, Artem
2001
On the integrality ratio of semidefinite relaxations of MAX CUT. Zbl 1323.68298
Feige, Uriel; Schechtman, Gideon
2001
Concentration on the $$\ell_p^n$$ ball. Zbl 0971.46009
Schechtman, G.; Zinn, J.
2000
Uniform quotient mappings of the plane. Zbl 1004.54019
Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G.
2000
Upper bounds on the height difference of the Gaussian random field and the range of random graph homomorphisms into $$\mathbb{Z}$$. Zbl 0957.05098
Benjamini, Itai; Schechtman, Gideon
2000
An editorial comment on the preceding paper. Zbl 0980.46005
Schechtman, G.
2000
Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 1996–2000. Zbl 0949.00025
2000
Affine approximation of Lipschitz functions and nonlinear quotients. Zbl 0954.46014
Bates, S.; Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G.
1999
An “isomorphic” version of Dvoretzky’s theorem. II. Zbl 0942.46012
Milman, Vitali; Schechtman, Gideon
1999
Averages of norms and quasi-norms. Zbl 0920.46006
Litvak, A. E.; Milman, V. D.; Schechtman, G.
1998
On the Gaussian measure of the intersection. Zbl 0936.60015
Schechtman, G.; Schlumprecht, Th.; Zinn, J.
1998
Hypercontractivity and comparison of moments of iterated maxima and minima of independent random variables. Zbl 0889.60003
Hitczenko, Paweł; Kwapień, Stanisław; Li, Wenbo V.; Schechtman, Gideon; Schlumprecht, Thomas; Zinn, Joel
1998
Global versus local asymptotic theories of finite-dimensional normed spaces. Zbl 0911.52002
Milman, V. D.; Schechtman, G.
1997
Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities. Zbl 0867.60006
Figiel, T.; Hitczenko, P.; Johnson, W. B.; Schechtman, G.; Zinn, J.
1997
Randomized approximation of bounded multicovering problems. Zbl 0873.68077
Peleg, D.; Schechtman, G.; Wool, A.
1997
A remarkable rearrangement of the Haar system in $$L_{p}$$. Zbl 0883.46021
Müller, Paul F. X.; Schechtman, Gideon
1997
Averages of norms and behavior of families of projective caps on the sphere. Zbl 0891.52002
Litvak, A. E.; Milman, V. D.; Schechtman, G.
1997
Banach spaces determined by their uniform structures. Zbl 0864.46008
Johnson, W. B.; Lindenstrauss, J.; Schechtman, G.
1996
A concentration inequality for harmonic measures on the sphere. Zbl 0840.31012
Schechtman, G.; Schmuckenschläger, M.
1995
An “isomorphic” version of Dvoretzky’s theorem. Zbl 0836.46007
Milman, Vitali D.; Schechtman, Gideon
1995
Banach spaces with the 2-summing property. Zbl 0843.46007
Arias, A.; Figiel, T.; Johnson, W. B.; Schechtman, G.
1995
The Lyapunov theorem for $$\ell_ p$$-valued measures. Zbl 0804.46048
1992
Another remark on the volume of the intersection of two $$\ell^ n_ p$$ balls. Zbl 0776.46013
Schechtman, G.; Schmuckenschläger, M.
1991
Remarks on Talagrand’s deviation inequality for Rademacher functions. Zbl 0753.60024
Johnson, William B.; Schechtman, Gideon
1991
Several results concerning unconditionality in vector valued $$L^ p$$ and $$H^ 1({\mathcal F}_ n)$$ spaces. Zbl 0723.46029
Müller, Paul F. X.; Schechtman, Gideon
1991
On the distance of subspaces of $$\ell_ p^ n$$ to $$\ell_ p^ k$$. Zbl 0758.46023
Johnson, William B.; Schechtman, Gideon
1991
Factorizations of natural embeddings of $$\ell^ n_ p$$ into $$L_ r$$. II. Zbl 0764.46018
Figiel, T.; Johnson, W. B.; Schechtman, G.
1991
On the volume of the intersection of two $$L^ n_ p$$ balls. Zbl 0704.60017
Schechtman, G.; Zinn, J.
1990
Sums of independent random variables in rearrangement invariant function spaces. Zbl 0674.60051
Johnson, William B.; Schechtman, G.
1989
Martingale inequalities in rearrangement invariant function spaces. Zbl 0672.60049
Johnson, W. B.; Schechtman, G.
1989
A remark concerning the dependence on $$\epsilon$$ in Dvoretzky’s theorem. Zbl 0679.46011
Schechtman, Gideaon
1989
On complemented subspaces of $$H^ 1$$ and VMO. Zbl 0687.46014
Müller, Paul F. X.; Schechtman, Gideon
1989
Factorizations of natural embeddings of $$\ell ^ n_ p$$ into $$L_ r$$. I. Zbl 0671.46009
Figiel, T.; Johnson, W. B.; Schechtman, G.
1988
Random sign embeddings from $$\ell ^ n_ r$$, $$2<r<\infty$$. Zbl 0655.46016
Figiel, T.; Johnson, W. B.; Schechtman, G.
1988
More on embedding subspaces of $$L_ p$$ in $$l^ n_ r$$. Zbl 0659.46021
Schechtman, Gideon
1987
On Lipschitz embedding of finite metric spaces in low dimensional normed spaces. Zbl 0631.46016
Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon
1987
Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds. Zbl 0606.46013
Milman, Vitali D.; Schechtman, Gideon
1986
Extensions of Lipschitz maps into Banach spaces. Zbl 0626.46007
Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon
1986
Best constants in moment inequalities for linear combinations of independent and exchangeable random variables. Zbl 0564.60020
Johnson, W. B.; Schechtman, G.; Zinn, J.
1985
Fine embeddings of finite dimensional subspaces of $$L_ p$$, $$1\leq p<2$$, into $$\ell ^ m_ 1$$. Zbl 0597.46019
Schechtman, Gideon
1985
Positive definite forms generated by integrals and weak limits. Zbl 0541.46037
Artstein, Zvi; Schechtman, Gideon
1983
Embedding $$l_ p^ m$$ into $$l_ 1^ n$$. Zbl 0522.46015
Johnson, William B.; Schechtman, Gideon
1982
On commuting families of nonexpansive operators. Zbl 0516.47030
Schechtman, Gideon
1982
Levy type inequality for a class of finite metric spaces. Zbl 0512.46010
Schechtman, Gideon
1982
On subspaces of $$L_ 1$$ with maximal distances of Euclidean space. Zbl 0522.46014
Johnson, W. B.; Schechtman, G.
1982
An ordinal $$L^p$$-index for Banach spaces, with application to complemented subspaces of $$L^p$$. Zbl 0496.46010
Bourgain, J.; Rosenthal, H. P.; Schechtman, G.
1981
Random embeddings of Euclidean spaces in sequence spaces. Zbl 0474.46004
Schechtman, Gideon
1981
On the relation between several notions of unconditional structure. Zbl 0488.46012
Johnson, W. B.; Lindenstrauss, J.; Schechtman, G.
1980
Symmetric structures in Banach spaces. Zbl 0421.46023
Johnson, W. B.; Maurey, B.; Schechtman, G.; Tzafriri, L.
1979
Almost isometric $$L_p$$ subspaces of $$L_p(0,1)$$. Zbl 0415.46029
Schechtman, Gideon
1979
Some remarks on symmetric basic sequences in $$L_1$$. Zbl 0415.46025
Maurey, B.; Schechtman, G.
1979
On Pelczynski’s paper ’Universal bases’. Zbl 0316.46014
Schechtman, Gideon
1976
Examples of $$\mathcal L_p$$ spaces $$(1<p\neq 2<\infty)$$. Zbl 0316.46018
Schechtman, G.
1975
...and 2 more Documents
all top 5

### Cited by 1,131 Authors

 37 Astashkin, Sergeĭ Vladimir 37 Naor, Assaf 33 Schechtman, Gideon 24 Paouris, Grigoris 22 Johnson, William Buhmann 22 Sukochev, Fedor Anatol’evich 21 Prochno, Joscha 20 Tomczak-Jaegermann, Nicole 19 Milman, Vitali D. 17 Mendelson, Shahar 14 Giannopoulos, Apostolos A. 14 Kalton, Nigel John 14 Litvak, Aleksandr Evgen’evich 13 Alonso-Gutiérrez, David 13 Ostrovskii, Mikhail Iosifovich 13 Schlumprecht, Thomas 12 Dilworth, Stephen J. 12 Junge, Marius 11 Hernández Rodriguez, Francisco L. 11 Klartag, Bo’az 10 Bourgain, Jean 10 Jiao, Yong 10 Thäle, Christoph 10 Tikhomirov, Konstantin E. 10 Tradacete Pérez, Pedro 10 Vershynin, Roman 9 Guédon, Olivier 9 Kabluchko, Zakhar A. 9 Kutzarova, Denka N. 9 Lancien, Gilles 9 Milman, Emanuel 9 Müller, Paul F. X. 9 Odell, Edward 9 Pajor, Alain 9 Valettas, Petros 8 Maligranda, Lech 8 Mendel, Manor 8 Szarek, Stanislaw Jerzy 8 Zanin, Dmitriy V. 7 Bobkov, Sergey Germanovich 7 Eskenazis, Alexandros 7 Gordon, Yehoram 7 Götze, Friedrich 7 Maleva, Olga 7 Rudelson, Mark 7 Werner, Elisabeth M. 7 Wojtaszczyk, Przemyslaw 6 Barthe, Franck 6 Causey, Ryan Michael 6 Cúth, Marek 6 González Ortiz, Manuel 6 Lechner, Richard 6 Lee, James R. 6 Matoušek, Jiří 6 Neiman, Ofer 6 Pisier, Gilles 6 Semënov, Evgeniĭ Mikhaĭlovich 6 Tsolomitis, Antonis 6 Zheng, Bentuo 5 Albiac, Fernando 5 Artstein-Avidan, Shiri 5 Boche, Holger 5 El Ouali, Mourad 5 Friedland, Omer 5 Godefroy, Gilles 5 Kania, Tomasz 5 Leśnik, Karol 5 Lindenstrauss, Joram 5 Linial, Nathan 5 Lopez-Abad, Jordi 5 Pestov, Vladimir G. 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 Zhang, Sheng 5 Zvavitch, Artem 4 Ansorena, José Luis 4 Bastero, Jesús 4 Baudier, Florent P. 4 Braverman, Michael Sh. 4 Carothers, Neal L. 4 DeVore, Ronald A. 4 Doucha, Michal 4 Figiel, Tadeusz 4 Flores, Julio 4 Fresen, Daniel J. 4 Hájek, Petr 4 Hinrichs, Aicke 4 Hitczenko, Paweł 4 Huang, Jinghao 4 Ivanisvili, Paata 4 Khot, Subhash Ajit 4 König, Hermann 4 Laustsen, Niels Jakob ...and 1,031 more Authors
all top 5

### Cited in 239 Serials

 111 Israel Journal of Mathematics 90 Journal of Functional Analysis 64 Proceedings of the American Mathematical Society 42 Journal of Mathematical Analysis and Applications 35 Advances in Mathematics 27 The Annals of Probability 27 Transactions of the American Mathematical Society 21 Positivity 18 Statistics & Probability Letters 18 Discrete & Computational Geometry 16 Communications in Mathematical Physics 16 Studia Mathematica 16 Probability Theory and Related Fields 14 Mathematische Annalen 14 Journal of Theoretical Probability 14 Geometric and Functional Analysis. GAFA 12 Journal of Approximation Theory 10 Mathematika 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Inventiones Mathematicae 8 Mathematische Nachrichten 8 Mathematische Zeitschrift 8 Siberian Mathematical Journal 8 Journal of Complexity 8 The Journal of Geometric Analysis 8 Stochastic Processes and their Applications 8 Journal of Mathematical Sciences (New York) 8 Electronic Journal of Statistics 7 Mathematical Notes 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Acta Mathematica 7 Compositio Mathematica 7 Duke Mathematical Journal 7 Bulletin of the American Mathematical Society. New Series 7 St. Petersburg Mathematical Journal 7 Bernoulli 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Journal of Mathematical Physics 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 the American Mathematical Society 6 The Annals of Applied Probability 6 Annals of Mathematics. Second Series 6 Journal of the European Mathematical Society (JEMS) 5 SIAM Journal on Computing 5 Advances in Applied Mathematics 5 Combinatorica 5 Computational Complexity 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Banach Journal of Mathematical Analysis 4 Rocky Mountain Journal of Mathematics 4 Theory of Probability and its Applications 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 Acta Mathematica Hungarica 4 Constructive Approximation 4 Algorithmica 4 Mathematical Programming. Series A. Series B 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 Canadian Mathematical Bulletin 3 Publications Mathématiques 3 Integral Equations and Operator Theory 3 Journal of Combinatorial Theory. Series A 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 Electronic Journal of Probability 3 Journal of the ACM 3 Communications in Contemporary Mathematics 3 Advances in Geometry 3 Journal of Machine Learning Research (JMLR) 3 Quantum Information Processing 3 Mediterranean Journal of Mathematics 3 Journal of Topology and Analysis 3 Forum of Mathematics, Sigma 3 Modern Stochastics. Theory and Applications 3 Discrete Analysis 2 Bulletin of the Australian Mathematical Society 2 Discrete Mathematics 2 Journal of Statistical Physics 2 Lithuanian Mathematical Journal 2 Physica A 2 Arkiv för Matematik 2 Mathematics of Computation 2 Calcolo 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica ...and 139 more Serials
all top 5

### Cited in 51 Fields

 587 Functional analysis (46-XX) 333 Probability theory and stochastic processes (60-XX) 184 Convex and discrete geometry (52-XX) 133 Operator theory (47-XX) 74 Combinatorics (05-XX) 74 Computer science (68-XX) 60 Statistics (62-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 47 General topology (54-XX) 44 Real functions (26-XX) 40 Functions of a complex variable (30-XX) 37 Differential geometry (53-XX) 36 Operations research, mathematical programming (90-XX) 35 Information and communication theory, circuits (94-XX) 32 Measure and integration (28-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 31 Quantum theory (81-XX) 29 Approximations and expansions (41-XX) 27 Geometry (51-XX) 19 Numerical analysis (65-XX) 17 Partial differential equations (35-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Abstract harmonic analysis (43-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Topological groups, Lie groups (22-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Group theory and generalizations (20-XX) 10 Number theory (11-XX) 7 Algebraic topology (55-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Mathematical logic and foundations (03-XX) 6 Difference and functional equations (39-XX) 5 Manifolds and cell complexes (57-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Algebraic geometry (14-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral equations (45-XX) 3 Systems theory; control (93-XX) 2 Field theory and polynomials (12-XX) 2 Biology and other natural sciences (92-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 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.