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Schechtman, Gideon

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Author ID: schechtman.gideon Recent zbMATH articles by "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
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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

Publications by Year

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 0606.46013
Milman, Vitali D.; Schechtman, Gideon
303
1986
Global versus local asymptotic theories of finite-dimensional normed spaces. Zbl 0911.52002
Milman, V. D.; Schechtman, G.
105
1997
Symmetric structures in Banach spaces. Zbl 0421.46023
Johnson, 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 0564.60020
Johnson, W. B.; Schechtman, G.; Zinn, J.
63
1985
On the volume of the intersection of two \(L^ n_ p\) balls. Zbl 0704.60017
Schechtman, G.; Zinn, J.
45
1990
Sums of independent random variables in rearrangement invariant function spaces. Zbl 0674.60051
Johnson, William B.; Schechtman, G.
45
1989
Almost Fréchet differentiability of Lipschitz mappings between infinite-dimensional Banach spaces. Zbl 1023.46046
Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon
32
2002
Averages of norms and quasi-norms. Zbl 0920.46006
Litvak, A. E.; Milman, V. D.; Schechtman, G.
32
1998
Affine approximation of Lipschitz functions and nonlinear quotients. Zbl 0954.46014
Bates, S.; Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G.
31
1999
Extensions of Lipschitz maps into Banach spaces. Zbl 0626.46007
Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon
30
1986
Banach spaces determined by their uniform structures. Zbl 0864.46008
Johnson, W. B.; Lindenstrauss, J.; Schechtman, G.
29
1996
Planar earthmover is not in \(L_1\). Zbl 1155.46005
Naor, Assaf; Schechtman, Gideon
27
2007
Two observations regarding embedding subsets of Euclidean spaces in normed spaces. Zbl 1108.46011
Schechtman, Gideon
26
2006
Diamond graphs and super-reflexivity. Zbl 1183.46022
Johnson, William B.; Schechtman, Gideon
24
2009
On the Gaussian measure of the intersection. Zbl 0936.60015
Schechtman, G.; Schlumprecht, Th.; Zinn, J.
24
1998
Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices. Zbl 1044.46018
Cwikel, Michael; Nilsson, Per G.; Schechtman, Gideon
22
2003
Complexity measures of sign matrices. Zbl 1164.68006
Linial, Nati; Mendelson, Shahar; Schechtman, Gideon; Shraibman, Adi
21
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.
21
1997
Martingale inequalities in rearrangement invariant function spaces. Zbl 0672.60049
Johnson, W. B.; Schechtman, G.
20
1989
Remarks on non linear type and Pisier’s inequality. Zbl 1033.46013
Naor, Assaf; Schechtman, Gideon
18
2002
On the optimality of the random hyperplane rounding technique for MAX CUT. Zbl 1005.90052
Feige, Uriel; Schechtman, Gideon
17
2002
Concentration on the \(\ell_p^n\) ball. Zbl 0971.46009
Schechtman, G.; Zinn, J.
15
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.
15
1981
Embedding \(l_ p^ m\) into \(l_ 1^ n\). Zbl 0522.46015
Johnson, William B.; Schechtman, Gideon
14
1982
More on embedding subspaces of \(L_ p\) in \(l^ n_ r\). Zbl 0659.46021
Schechtman, Gideon
12
1987
Special orthogonal splittings of \(L_1^{2k}\). Zbl 1066.46010
Schechtman, Gideon
11
2004
Finite dimensional subspaces of \(L_p\). Zbl 1012.46012
Johnson, William B.; Schechtman, Gideon
11
2001
On the relation between several notions of unconditional structure. Zbl 0488.46012
Johnson, W. B.; Lindenstrauss, J.; Schechtman, G.
11
1980
Commutators on \(L_p\), \(1\leq p <\infty\). Zbl 1278.47038
Dosev, Detelin; Johnson, William B.; Schechtman, Gideon
10
2013
Lipschitz quotients from metric trees and from Banach spaces containing \(\ell _{1}\). Zbl 1013.46012
Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon
10
2002
A concentration inequality for harmonic measures on the sphere. Zbl 0840.31012
Schechtman, G.; Schmuckenschläger, M.
10
1995
Another remark on the volume of the intersection of two \(\ell^ n_ p\) balls. Zbl 0776.46013
Schechtman, G.; Schmuckenschläger, M.
10
1991
Bourgain’s discretization theorem. Zbl 1283.46015
Giladi, Ohad; Naor, Assaf; Schechtman, Gideon
9
2012
Very tight embeddings of subspaces of \(L_p\), \(1 \leq p < 2\), into \(\ell^n_p\). Zbl 1036.46008
Johnson, William B.; Schechtman, Gideon
8
2003
Randomized approximation of bounded multicovering problems. Zbl 0873.68077
Peleg, D.; Schechtman, G.; Wool, A.
8
1997
Remarks on Talagrand’s deviation inequality for Rademacher functions. Zbl 0753.60024
Johnson, William B.; Schechtman, Gideon
8
1991
Euclidean sections of convex bodies. Zbl 1284.46013
Schechtman, Gideon
7
2013
The UGC hardness threshold of the \(L_{p}\) Grothendieck problem. Zbl 1216.68340
Kindler, Guy; Naor, Assaf; Schechtman, Gideon
7
2010
The random version of Dvoretzky’s theorem in \(\ell_\infty^n\). Zbl 1183.46011
Schechtman, G.
7
2007
Concentration, results and applications. Zbl 1057.46011
Schechtman, Gideon
7
2003
An “isomorphic” version of Dvoretzky’s theorem. II. Zbl 0942.46012
Milman, Vitali; Schechtman, Gideon
7
1999
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
7
1998
An “isomorphic” version of Dvoretzky’s theorem. Zbl 0836.46007
Milman, Vitali D.; Schechtman, Gideon
7
1995
On Lipschitz embedding of finite metric spaces in low dimensional normed spaces. Zbl 0631.46016
Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon
7
1987
Random embeddings of Euclidean spaces in sequence spaces. Zbl 0474.46004
Schechtman, Gideon
7
1981
Multiplication operators on \(L(L_{p})\) and \(\ell_{p}\)-strictly singular operators. Zbl 1165.46010
Johnson, William B.; Schechtman, Gideon
6
2008
Weakly null sequences in \(L_1\). Zbl 1125.46014
Johnson, William B.; Maurey, Bernard; Schechtman, Gideon
6
2007
Uniform quotient mappings of the plane. Zbl 1004.54019
Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G.
6
2000
Examples of \(\mathcal L_p\) spaces \((1<p\neq 2<\infty)\). Zbl 0316.46018
Schechtman, G.
6
1975
A remark on unconditional basic sequences in \(L_p\) (\(1<p<\infty\)). Zbl 0306.46035
Schechtman, G.
6
1975
Ideals in \(L(L_1)\). Zbl 07159967
Johnson, W. B.; Pisier, G.; Schechtman, G.
5
2020
Non-linear factorization of linear operators. Zbl 1183.46021
Johnson, W. B.; Maurey, B.; Schechtman, G.
5
2009
Lower bounds for local versions of dimension reductions. Zbl 1171.46008
Schechtman, Gideon; Shraibman, Adi
5
2009
Embedding subspaces on \(L_p\) into \(\ell_p^N, 0<p<1\). Zbl 1046.46011
Schechtman, Gideon; Zvavitch, Artem
5
2001
Factorizations of natural embeddings of \(\ell ^ n_ p\) into \(L_ r\). I. Zbl 0671.46009
Figiel, T.; Johnson, W. B.; Schechtman, G.
5
1988
On Pelczynski’s paper ’Universal bases’. Zbl 0316.46014
Schechtman, Gideon
5
1976
Pythagorean powers of hypercubes. Zbl 1364.46022
Naor, Assaf; Schechtman, Gideon
4
2016
Metric \(X_{p}\) inequalities. Zbl 1344.46018
Naor, 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 0957.05098
Benjamini, Itai; Schechtman, Gideon
4
2000
The Lyapunov theorem for \(\ell_ p\)-valued measures. Zbl 0804.46048
Kadets, V. M.; Shekhtman, G.
4
1992
Random sign embeddings from \(\ell ^ n_ r\), \(2<r<\infty\). Zbl 0655.46016
Figiel, T.; Johnson, W. B.; Schechtman, G.
4
1988
Almost isometric \(L_p\) subspaces of \(L_p(0,1)\). Zbl 0415.46029
Schechtman, Gideon
4
1979
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
3
2016
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
3
2015
Narrow and \(\ell_2\)-strictly singular operators from \(L_p\). Zbl 1314.46024
Mykhaylyuk, V.; Popov, M.; Randrianantoanina, B.; Schechtman, G.
3
2014
No greedy bases for matrix spaces with mixed \(\ell_p\) and \(\ell_q\) norms. Zbl 1308.46020
Schechtman, Gideon
3
2014
On commuting families of nonexpansive operators. Zbl 0516.47030
Schechtman, Gideon
3
1982
Impossibility of dimension reduction in the nuclear norm. Zbl 1412.46036
Naor, Assaf; Pisier, Gilles; Schechtman, Gideon
2
2018
A Schauder basis for \(L_{1}(0,\infty)\) consisting of non-negative functions. Zbl 1345.46006
Johnson, William B.; Schechtman, Gideon
2
2015
Matrix subspaces of \(L_1\). Zbl 1287.46025
Schechtman, Gideon
2
2013
Several remarks concerning the local theory of \(L_p\) spaces. Zbl 1085.46006
Johnson, W. B.; Schechtman, G.
2
2004
Graphs with tiny vector chromatic numbers and huge chromatic numbers. Zbl 1105.68088
Feige, Uriel; Langberg, Michael; Schechtman, Gideon
2
2004
On characterization of two-sample \(U\)-statistics. Zbl 0996.62004
Schechtman, E.; Schechtman, G.
2
2002
On the integrality ratio of semidefinite relaxations of MAX CUT. Zbl 1323.68298
Feige, Uriel; Schechtman, Gideon
2
2001
A remarkable rearrangement of the Haar system in \(L_{p}\). Zbl 0883.46021
Müller, Paul F. X.; Schechtman, Gideon
2
1997
Several results concerning unconditionality in vector valued \(L^ p\) and \(H^ 1({\mathcal F}_ n)\) spaces. Zbl 0723.46029
Müller, Paul F. X.; Schechtman, Gideon
2
1991
Factorizations of natural embeddings of \(\ell^ n_ p\) into \(L_ r\). II. Zbl 0764.46018
Figiel, T.; Johnson, W. B.; Schechtman, G.
2
1991
On the distance of subspaces of \(\ell_ p^ n\) to \(\ell_ p^ k\). Zbl 0758.46023
Johnson, William B.; Schechtman, Gideon
2
1991
On complemented subspaces of \(H^ 1\) and VMO. Zbl 0687.46014
Müller, 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 0597.46019
Schechtman, Gideon
2
1985
Complemented subspaces of \((\ell_2\oplus\ell_2\oplus\dots)_p\) \(1<p<\infty\) with an unconditional basis. Zbl 0312.46025
Schechtman, G.
2
1975
The relationship between Gini terminology and the ROC curve. Zbl 1437.62237
Schechtman, Edna; Schechtman, Gideon
1
2019
Three observations regarding Schatten \(p\) classes. Zbl 1424.47049
Schechtman, Gideon
1
2016
Subspaces of \(L_p\) that embed into \(L_p(\mu)\) with \(\mu\) finite. Zbl 1315.46029
Johnson, William B.; Schechtman, Gideon
1
2014
A quantitative version of the commutator theorem for zero trace matrices. Zbl 1297.15027
Johnson, William B.; Ozawa, Narutaka; Schechtman, Gideon
1
2013
Tight embedding of subspaces of \(L_{p}\) in \(\ell_{p}^{n}\) for even \(p\). Zbl 1247.46013
Schechtman, Gideon
1
2011
Stabilizing isomorphisms from \(\ell _{p}(\ell _{2})\) into \(L_{p} [0, 1]\). Zbl 1235.46026
Levy, Ran; Schechtman, Gideon
1
2011
Extremal configurations for moments of sums of independent positive random variables. Zbl 1134.60317
Schechtman, Gideon
1
2007
The shattering dimension of sets of linear functionals. Zbl 1045.60006
Mendelson, Shahar; Schechtman, Gideon
1
2004
Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 2001–2002. Zbl 1009.00019
Milman, V. D. (ed.); Schechtman, G. (ed.)
1
2003
Block bases of the Haar system as complemented subspaces of \(L_p\), \(2<p<\infty\). Zbl 1028.46030
Kleper, Dvir; Schechtman, Gideon
1
2003
An editorial comment on the preceding paper. Zbl 0980.46005
Schechtman, G.
1
2000
Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 1996–2000. Zbl 0949.00025
Milman, V. D. (ed.); Schechtman, G. (ed.)
1
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.
1
1997
Banach spaces with the 2-summing property. Zbl 0843.46007
Arias, A.; Figiel, T.; Johnson, W. B.; Schechtman, G.
1
1995
A remark concerning the dependence on \(\epsilon\) in Dvoretzky’s theorem. Zbl 0679.46011
Schechtman, Gideaon
1
1989
Positive definite forms generated by integrals and weak limits. Zbl 0541.46037
Artstein, Zvi; Schechtman, Gideon
1
1983
On subspaces of \(L_ 1\) with maximal distances of Euclidean space. Zbl 0522.46014
Johnson, W. B.; Schechtman, G.
1
1982
Levy type inequality for a class of finite metric spaces. Zbl 0512.46010
Schechtman, Gideon
1
1982
Some remarks on symmetric basic sequences in \(L_1\). Zbl 0415.46025
Maurey, B.; Schechtman, G.
1
1979
Ideals in \(L(L_1)\). Zbl 07159967
Johnson, W. B.; Pisier, G.; Schechtman, G.
5
2020
The relationship between Gini terminology and the ROC curve. Zbl 1437.62237
Schechtman, Edna; Schechtman, Gideon
1
2019
Impossibility of dimension reduction in the nuclear norm. Zbl 1412.46036
Naor, Assaf; Pisier, Gilles; Schechtman, Gideon
2
2018
Pythagorean powers of hypercubes. Zbl 1364.46022
Naor, Assaf; Schechtman, Gideon
4
2016
Metric \(X_{p}\) inequalities. Zbl 1344.46018
Naor, Assaf; Schechtman, Gideon
4
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
3
2016
Three observations regarding Schatten \(p\) classes. Zbl 1424.47049
Schechtman, Gideon
1
2016
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
3
2015
A Schauder basis for \(L_{1}(0,\infty)\) consisting of non-negative functions. Zbl 1345.46006
Johnson, William B.; Schechtman, Gideon
2
2015
Narrow and \(\ell_2\)-strictly singular operators from \(L_p\). Zbl 1314.46024
Mykhaylyuk, V.; Popov, M.; Randrianantoanina, B.; Schechtman, G.
3
2014
No greedy bases for matrix spaces with mixed \(\ell_p\) and \(\ell_q\) norms. Zbl 1308.46020
Schechtman, Gideon
3
2014
Subspaces of \(L_p\) that embed into \(L_p(\mu)\) with \(\mu\) finite. Zbl 1315.46029
Johnson, William B.; Schechtman, Gideon
1
2014
Commutators on \(L_p\), \(1\leq p <\infty\). Zbl 1278.47038
Dosev, Detelin; Johnson, William B.; Schechtman, Gideon
10
2013
Euclidean sections of convex bodies. Zbl 1284.46013
Schechtman, Gideon
7
2013
Matrix subspaces of \(L_1\). Zbl 1287.46025
Schechtman, Gideon
2
2013
A quantitative version of the commutator theorem for zero trace matrices. Zbl 1297.15027
Johnson, William B.; Ozawa, Narutaka; Schechtman, Gideon
1
2013
Bourgain’s discretization theorem. Zbl 1283.46015
Giladi, Ohad; Naor, Assaf; Schechtman, Gideon
9
2012
Tight embedding of subspaces of \(L_{p}\) in \(\ell_{p}^{n}\) for even \(p\). Zbl 1247.46013
Schechtman, Gideon
1
2011
Stabilizing isomorphisms from \(\ell _{p}(\ell _{2})\) into \(L_{p} [0, 1]\). Zbl 1235.46026
Levy, Ran; Schechtman, Gideon
1
2011
The UGC hardness threshold of the \(L_{p}\) Grothendieck problem. Zbl 1216.68340
Kindler, Guy; Naor, Assaf; Schechtman, Gideon
7
2010
Diamond graphs and super-reflexivity. Zbl 1183.46022
Johnson, William B.; Schechtman, Gideon
24
2009
Non-linear factorization of linear operators. Zbl 1183.46021
Johnson, W. B.; Maurey, B.; Schechtman, G.
5
2009
Lower bounds for local versions of dimension reductions. Zbl 1171.46008
Schechtman, Gideon; Shraibman, Adi
5
2009
Multiplication operators on \(L(L_{p})\) and \(\ell_{p}\)-strictly singular operators. Zbl 1165.46010
Johnson, William B.; Schechtman, Gideon
6
2008
Planar earthmover is not in \(L_1\). Zbl 1155.46005
Naor, Assaf; Schechtman, Gideon
27
2007
Complexity measures of sign matrices. Zbl 1164.68006
Linial, Nati; Mendelson, Shahar; Schechtman, Gideon; Shraibman, Adi
21
2007
The random version of Dvoretzky’s theorem in \(\ell_\infty^n\). Zbl 1183.46011
Schechtman, G.
7
2007
Weakly null sequences in \(L_1\). Zbl 1125.46014
Johnson, William B.; Maurey, Bernard; Schechtman, Gideon
6
2007
Extremal configurations for moments of sums of independent positive random variables. Zbl 1134.60317
Schechtman, Gideon
1
2007
Two observations regarding embedding subsets of Euclidean spaces in normed spaces. Zbl 1108.46011
Schechtman, Gideon
26
2006
Special orthogonal splittings of \(L_1^{2k}\). Zbl 1066.46010
Schechtman, Gideon
11
2004
Several remarks concerning the local theory of \(L_p\) spaces. Zbl 1085.46006
Johnson, W. B.; Schechtman, G.
2
2004
Graphs with tiny vector chromatic numbers and huge chromatic numbers. Zbl 1105.68088
Feige, Uriel; Langberg, Michael; Schechtman, Gideon
2
2004
The shattering dimension of sets of linear functionals. Zbl 1045.60006
Mendelson, Shahar; Schechtman, Gideon
1
2004
Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices. Zbl 1044.46018
Cwikel, 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 1036.46008
Johnson, William B.; Schechtman, Gideon
8
2003
Concentration, results and applications. Zbl 1057.46011
Schechtman, Gideon
7
2003
Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 2001–2002. Zbl 1009.00019
Milman, V. D. (ed.); Schechtman, G. (ed.)
1
2003
Block bases of the Haar system as complemented subspaces of \(L_p\), \(2<p<\infty\). Zbl 1028.46030
Kleper, Dvir; Schechtman, Gideon
1
2003
Almost Fréchet differentiability of Lipschitz mappings between infinite-dimensional Banach spaces. Zbl 1023.46046
Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon
32
2002
Remarks on non linear type and Pisier’s inequality. Zbl 1033.46013
Naor, Assaf; Schechtman, Gideon
18
2002
On the optimality of the random hyperplane rounding technique for MAX CUT. Zbl 1005.90052
Feige, Uriel; Schechtman, Gideon
17
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
10
2002
On characterization of two-sample \(U\)-statistics. Zbl 0996.62004
Schechtman, E.; Schechtman, G.
2
2002
Finite dimensional subspaces of \(L_p\). Zbl 1012.46012
Johnson, William B.; Schechtman, Gideon
11
2001
Embedding subspaces on \(L_p\) into \(\ell_p^N, 0<p<1\). Zbl 1046.46011
Schechtman, Gideon; Zvavitch, Artem
5
2001
On the integrality ratio of semidefinite relaxations of MAX CUT. Zbl 1323.68298
Feige, Uriel; Schechtman, Gideon
2
2001
Concentration on the \(\ell_p^n\) ball. Zbl 0971.46009
Schechtman, G.; Zinn, J.
15
2000
Uniform quotient mappings of the plane. Zbl 1004.54019
Johnson, 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 0957.05098
Benjamini, Itai; Schechtman, Gideon
4
2000
An editorial comment on the preceding paper. Zbl 0980.46005
Schechtman, G.
1
2000
Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 1996–2000. Zbl 0949.00025
Milman, V. D. (ed.); Schechtman, G. (ed.)
1
2000
Affine approximation of Lipschitz functions and nonlinear quotients. Zbl 0954.46014
Bates, S.; Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G.
31
1999
An “isomorphic” version of Dvoretzky’s theorem. II. Zbl 0942.46012
Milman, Vitali; Schechtman, Gideon
7
1999
Averages of norms and quasi-norms. Zbl 0920.46006
Litvak, A. E.; Milman, V. D.; Schechtman, G.
32
1998
On the Gaussian measure of the intersection. Zbl 0936.60015
Schechtman, G.; Schlumprecht, Th.; Zinn, J.
24
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
7
1998
Global versus local asymptotic theories of finite-dimensional normed spaces. Zbl 0911.52002
Milman, V. D.; Schechtman, G.
105
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.
21
1997
Randomized approximation of bounded multicovering problems. Zbl 0873.68077
Peleg, D.; Schechtman, G.; Wool, A.
8
1997
A remarkable rearrangement of the Haar system in \(L_{p}\). Zbl 0883.46021
Müller, Paul F. X.; Schechtman, Gideon
2
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.
1
1997
Banach spaces determined by their uniform structures. Zbl 0864.46008
Johnson, W. B.; Lindenstrauss, J.; Schechtman, G.
29
1996
A concentration inequality for harmonic measures on the sphere. Zbl 0840.31012
Schechtman, G.; Schmuckenschläger, M.
10
1995
An “isomorphic” version of Dvoretzky’s theorem. Zbl 0836.46007
Milman, Vitali D.; Schechtman, Gideon
7
1995
Banach spaces with the 2-summing property. Zbl 0843.46007
Arias, A.; Figiel, T.; Johnson, W. B.; Schechtman, G.
1
1995
The Lyapunov theorem for \(\ell_ p\)-valued measures. Zbl 0804.46048
Kadets, V. M.; Shekhtman, G.
4
1992
Another remark on the volume of the intersection of two \(\ell^ n_ p\) balls. Zbl 0776.46013
Schechtman, G.; Schmuckenschläger, M.
10
1991
Remarks on Talagrand’s deviation inequality for Rademacher functions. Zbl 0753.60024
Johnson, William B.; Schechtman, Gideon
8
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
2
1991
Factorizations of natural embeddings of \(\ell^ n_ p\) into \(L_ r\). II. Zbl 0764.46018
Figiel, T.; Johnson, W. B.; Schechtman, G.
2
1991
On the distance of subspaces of \(\ell_ p^ n\) to \(\ell_ p^ k\). Zbl 0758.46023
Johnson, William B.; Schechtman, Gideon
2
1991
On the volume of the intersection of two \(L^ n_ p\) balls. Zbl 0704.60017
Schechtman, G.; Zinn, J.
45
1990
Sums of independent random variables in rearrangement invariant function spaces. Zbl 0674.60051
Johnson, William B.; Schechtman, G.
45
1989
Martingale inequalities in rearrangement invariant function spaces. Zbl 0672.60049
Johnson, W. B.; Schechtman, G.
20
1989
On complemented subspaces of \(H^ 1\) and VMO. Zbl 0687.46014
Müller, Paul F. X.; Schechtman, Gideon
2
1989
A remark concerning the dependence on \(\epsilon\) in Dvoretzky’s theorem. Zbl 0679.46011
Schechtman, Gideaon
1
1989
Factorizations of natural embeddings of \(\ell ^ n_ p\) into \(L_ r\). I. Zbl 0671.46009
Figiel, T.; Johnson, W. B.; Schechtman, G.
5
1988
Random sign embeddings from \(\ell ^ n_ r\), \(2<r<\infty\). Zbl 0655.46016
Figiel, T.; Johnson, W. B.; Schechtman, G.
4
1988
More on embedding subspaces of \(L_ p\) in \(l^ n_ r\). Zbl 0659.46021
Schechtman, Gideon
12
1987
On Lipschitz embedding of finite metric spaces in low dimensional normed spaces. Zbl 0631.46016
Johnson, 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 0606.46013
Milman, Vitali D.; Schechtman, Gideon
303
1986
Extensions of Lipschitz maps into Banach spaces. Zbl 0626.46007
Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon
30
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.
63
1985
Fine embeddings of finite dimensional subspaces of \(L_ p\), \(1\leq p<2\), into \(\ell ^ m_ 1\). Zbl 0597.46019
Schechtman, Gideon
2
1985
Positive definite forms generated by integrals and weak limits. Zbl 0541.46037
Artstein, Zvi; Schechtman, Gideon
1
1983
Embedding \(l_ p^ m\) into \(l_ 1^ n\). Zbl 0522.46015
Johnson, William B.; Schechtman, Gideon
14
1982
On commuting families of nonexpansive operators. Zbl 0516.47030
Schechtman, Gideon
3
1982
On subspaces of \(L_ 1\) with maximal distances of Euclidean space. Zbl 0522.46014
Johnson, W. B.; Schechtman, G.
1
1982
Levy type inequality for a class of finite metric spaces. Zbl 0512.46010
Schechtman, Gideon
1
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.
15
1981
Random embeddings of Euclidean spaces in sequence spaces. Zbl 0474.46004
Schechtman, Gideon
7
1981
On the relation between several notions of unconditional structure. Zbl 0488.46012
Johnson, W. B.; Lindenstrauss, J.; Schechtman, G.
11
1980
Symmetric structures in Banach spaces. Zbl 0421.46023
Johnson, W. B.; Maurey, B.; Schechtman, G.; Tzafriri, L.
99
1979
Almost isometric \(L_p\) subspaces of \(L_p(0,1)\). Zbl 0415.46029
Schechtman, Gideon
4
1979
Some remarks on symmetric basic sequences in \(L_1\). Zbl 0415.46025
Maurey, B.; Schechtman, G.
1
1979
On Pelczynski’s paper ’Universal bases’. Zbl 0316.46014
Schechtman, Gideon
5
1976
Examples of \(\mathcal L_p\) spaces \((1<p\neq 2<\infty)\). Zbl 0316.46018
Schechtman, G.
6
1975
A remark on unconditional basic sequences in \(L_p\) (\(1<p<\infty\)). Zbl 0306.46035
Schechtman, G.
6
1975
Complemented subspaces of \((\ell_2\oplus\ell_2\oplus\dots)_p\) \(1<p<\infty\) with an unconditional basis. Zbl 0312.46025
Schechtman, G.
2
1975
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

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