Edit Profile (opens in new tab) Pisier, Gilles Co-Author Distance Author ID: pisier.gilles Published as: Pisier, Gilles; Pisier, G. Homepage: https://webusers.imj-prg.fr/~gilles.pisier/ External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 193 Publications since 1973, including 16 Books 6 Contributions as Editor · 2 Further Contributions Reviewing Activity: 26 Reviews Co-Authors: 67 Co-Authors with 52 Joint Publications 1,919 Co-Co-Authors all top 5 Co-Authors 148 single-authored 8 Maurey, Bernard 7 Marcus, Michael B. 6 Xu, Quanhua 4 Johnson, William Buhmann 4 Milman, Vitali D. 4 Schechtman, Gideon 3 Beauzamy, Bernard 3 Naor, Assaf 2 Bourgain, Jean 2 Haagerup, Uffe Valentin 2 Junge, Marius 2 Kupin, Stanislas 2 Lindenstrauss, Elon 2 Preiss, David 2 Shlyakhtenko, Dimitri L. 2 Zinn, Joel 1 Benyamini, Yoav 1 Borichev, Aleksandr Aleksandrovich 1 Caramello, Olivia 1 Cartier, Pierre 1 Choi, Man-Duen 1 Connes, Alain 1 Dadarlat, Marius 1 Daubechies, Ingrid Chantal 1 Davidson, Kenneth R. 1 Delbaen, Freddy 1 Effros, Rita Brickman 1 Enflo, Per Henrik 1 Figiel, Tadeusz 1 Fonf, Vladimir P. 1 Franz, Uwe 1 Ghoussoub, Nassif A. 1 Guerre-Delabriere, Sylvie 1 Gupta, Ved Prakash 1 Guth, Lawrence David 1 Hartmann, Andreas 1 Heß, Albrecht 1 Hoffmann-Jørgensen, Jørgen 1 Jaeck, Frédéric 1 Jaming, Philippe 1 Jitomirskaya, Svetlana Yakovlevna 1 Jørgensen, Palle E. T. 1 Kaminker, Jerome 1 Kellay, Karim 1 Kontorovich, Alex V. 1 Krivine, Jean-Louis 1 Lafforgue, Laurent 1 Lindenstrauss, Ayelet 1 Lindenstrauss, Joram 1 Lust-Piquard, Françoise 1 Maclarty, Colin 1 Mandayam, Prabha 1 Nazarov, Fedor L. 1 Oikhberg, Timur 1 Ozawa, Narutaka 1 Parcet, Javier 1 Parthasarathy, Kalyanapuram Rangachari 1 Paulsen, Vern Ival 1 Popa, Sorin Teodor 1 Powers, Robert T. 1 Ricard, Éric 1 Rosenberg, Jonathan Micah 1 Ruan, Zhongjin 1 Rudnick, Zeév 1 Sarnak, Peter Clive 1 Schlag, Wilhelm 1 Schochet, Claude L. 1 Scholze, Peter 1 Shultz, Fred 1 Staffilani, Gigliola 1 Sunder, Viakalathur S. 1 Szankowski, Andrzej 1 Szczeciniarz, Jean-Jacques 1 Takesaki, Masamichi 1 Tao, Terence 1 Timotin, Dan 1 Treil, Sergei 1 Trèves, François 1 Varjú, Péter Pál 1 Vasilescu, Florian-Horia 1 Vasyunin, Vasiliĭ Ivanovich 1 Voiculescu, Dan-Virgil 1 Volberg, Alexander Lvovich 1 Winter, Andreas 1 Yor, Marc 1 Zalamea, Fernando 1 Zarrabi, Mohamed all top 5 Serials 12 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 11 Comptes Rendus de l’Académie des Sciences. Série I 4 Israel Journal of Mathematics 4 Notices of the American Mathematical Society 2 Studia Mathematica 2 Acta Mathematica 2 The Annals of Probability 2 Indiana University Mathematics Journal 2 Inventiones Mathematicae 2 Journal of Functional Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Documenta Mathematica 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Cambridge Tracts in Mathematics 2 Lecture Notes in Mathematics 2 Theta Series in Advanced Mathematics 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Arkiv för Matematik 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Boletim da Sociedade Brasileira de Matemática 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Mathematika 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 Probability Theory and Related Fields 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 St. Petersburg Mathematical Journal 1 Mathematical Research Letters 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 Taiwanese Journal of Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Mathematical Proceedings of the Royal Irish Academy 1 Journal of the European Mathematical Society (JEMS) 1 La Gaceta de la Real Sociedad Matemática Española 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Annals of Mathematics Studies 1 Astérisque 1 Cambridge Studies in Advanced Mathematics 1 Lecture Notes in Physics 1 Lecture Notes Series. Aarhus University 1 London Mathematical Society Lecture Note Series 1 London Mathematical Society Student Texts 1 Regional Conference Series in Mathematics 1 SMF Journée Annuelle 1 Journal of Noncommutative Geometry 1 Operators and Matrices 1 Graduate Journal of Mathematics 1 Nouvelles Visions des Sciences all top 5 Fields 152 Functional analysis (46-XX) 74 Operator theory (47-XX) 50 Probability theory and stochastic processes (60-XX) 24 Abstract harmonic analysis (43-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 9 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 6 Measure and integration (28-XX) 6 Functions of a complex variable (30-XX) 5 Approximations and expansions (41-XX) 4 Quantum theory (81-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Convex and discrete geometry (52-XX) 2 Combinatorics (05-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 160 Publications have been cited 4,232 times in 2,722 Documents Cited by ▼ Year ▼ The volume of convex bodies and Banach space geometry. Zbl 0698.46008Pisier, Gilles 362 1989 Introduction to operator space theory. Zbl 1093.46001Pisier, Gilles 300 2003 Non-commutative \(L^p\)-spaces. Zbl 1046.46048Pisier, Gilles; Xu, Quanhua 263 2003 Martingales with values in uniformly convex spaces. Zbl 0344.46030Pisier, Gilles 209 1975 Series de variables aléatoires vectorielles independantes et propriétés geométriques des espaces de Banach. Zbl 0344.47014Maurey, Bernard; Pisier, Gilles 196 1976 Factorization of linear operators and geometry of Banach spaces. Zbl 0588.46010Pisier, Gilles 174 1986 Non-commutative vector valued \(L_p\)-spaces and completely \(p\)-summing maps. Zbl 0937.46056Pisier, Gilles 142 1998 The law of large numbers and the central limit theorem in Banach spaces. Zbl 0368.60022Hoffmann-Jørgensen, Jørgen; Pisier, G. 136 1976 Non-commutative martingale inequalities. Zbl 0898.46056Pisier, Gilles; Xu, Quanhua 113 1997 Non commutative Khintchine and Paley inequalities. Zbl 0755.47029Lust-Piquard, Françoise; Pisier, Gilles 93 1991 Random Fourier series with applications to harmonic analysis. Zbl 0474.43004Marcus, Michael B.; Pisier, Gilles 91 1981 The operator Hilbert space \(OH\), complex interpolation and tensor norms. Zbl 0932.46046Pisier, Gilles 89 1996 Martingales in Banach spaces. Zbl 1382.46002Pisier, Gilles 85 2016 Grothendieck’s theorem, past and present. Zbl 1244.46006Pisier, Gilles 77 2012 Holomorphic semi-groups and the geometry of Banach spaces. Zbl 0487.46008Pisier, Gilles 72 1982 Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes. Zbl 0547.60047Marcus, M. B.; Pisier, G. 61 1984 Probabilistic methods in the geometry of Banach spaces. Zbl 0606.60008Pisier, Gilles 59 1986 Some results on Banach spaces without local unconditional structure. Zbl 0381.46010Pisier, Gilles 57 1978 Similarity problems and completely bounded maps. Zbl 0843.47010Pisier, Gilles 56 1995 Grothendieck’s theorem for noncommutative \(C^*\)-algebras, with an appendix on Grothendieck’s constants. Zbl 0388.46043Pisier, Gilles 56 1978 Similarity problems and completely bounded maps. Includes the solution to “The Halmos problem”. 2nd, expanded ed. Zbl 0971.47016Pisier, Gilles 53 2001 Counterexamples to a conjecture of Grothendieck. Zbl 0542.46038Pisier, Gilles 53 1983 A polynomially bounded operator on Hilbert space which is not similar to a contraction. Zbl 0869.47014Pisier, Gilles 47 1997 Some applications of the complex interpolation method to Banach lattices. Zbl 0427.46048Pisier, G. 45 1979 On the ’three space problem’. Zbl 0314.46015Enflo, Per; Lindenstrauss, Joram; Pisier, Gilles 45 1975 Grothendieck’s theorem for operator spaces. Zbl 1033.46044Pisier, Gilles; Shlyakhtenko, Dimitri 42 2002 Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations. Zbl 0619.47016Pisier, Gilles 41 1986 The strong p-variation of martingales and orthogonal series. Zbl 0632.60004Pisier, Gilles; Xu, Quanhua 39 1988 Interpolation between \(H^ p\) spaces and non-commutative generalizations. I. Zbl 0747.46050Pisier, Gilles 39 1992 Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\). Zbl 0832.46052Junge, M.; Pisier, G. 38 1995 A construction of \({\mathcal L}_{\infty}\)-spaces and related Banach spaces. Zbl 0586.46011Bourgain, Jean; Pisier, Gilles 36 1983 Bounded linear operators between \(C^*\)-algebras. Zbl 0803.46064Haagerup, Uffe; Pisier, Gilles 33 1993 Remarques sur un résultat non publie de B. Maurey. Zbl 0491.46017Pisier, G. 33 1981 Weak Hilbert spaces. Zbl 0666.46009Pisier, Gilles 30 1988 Un théorème sur les opérateurs linéaires entre espaces de Banach qui se factorisent par un espace de Hilbert. Zbl 0436.47013Pisier, G. 28 1980 The volume of convex bodies and Banach space geometry. Zbl 0933.46013Pisier, Gilles 27 1999 Riesz transforms: A simpler analytic proof of P. A. Meyer’s inequality. Zbl 0645.60061Pisier, Gilles 26 1988 Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts. Zbl 0983.42006Nazarov, F.; Pisier, G.; Treil, S.; Volberg, A. 24 2002 Series aléatoires dans les espaces uniformement convexes ou uniformement lisses. Zbl 0326.46007Figiel, Tadeusz; Pisier, Gilles 24 1974 Factorization of analytic functions with values in non-commutative \(L_1\)-spaces and applications. Zbl 0821.46074Haagerup, Uffe; Pisier, Gilles 22 1989 A simple proof of a theorem of Kirchberg and related results on \(C^*\)-norms. Zbl 0858.46045Pisier, Gilles 21 1996 Sur les espaces de Banach qui ne contiennent pas uniformement de \(l^1_n\). Zbl 0271.46011Pisier, Gilles 20 1973 Exact operator spaces. Zbl 0844.46031Pisier, Gilles 20 1995 Complex interpolation between Hilbert, Banach and operator spaces. Zbl 1213.46002Pisier, Gilles 20 2010 Tensor products of \(C^*\)-algebras and operator spaces. The Connes-Kirchberg problem. Zbl 1453.46002Pisier, Gilles 19 2020 Factorization of operator valued analytic functions. Zbl 0791.47015Pisier, Gilles 18 1992 Multipliers and lacunary sets in non-amenable groups. Zbl 0853.43008Pisier, Gilles 18 1995 Banach spaces with a weak cotype 2 property. Zbl 0611.46022Milman, Vitali D.; Pisier, Gilles 18 1986 On the limit theorems for random variables with values in the spaces \(L_p\;(2\leq p<\infty)\). Zbl 0364.60031Pisier, Gilles; Zinn, Joel 18 1978 Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach. (Suite et fin). Zbl 0403.60012Pisier, G. 18 1976 Completely bounded maps between sets of Banach space operators. Zbl 0747.46015Pisier, Gilles 17 1990 Complex interpolation and regular operators between Banach lattices. Zbl 0991.46007Pisier, Gilles 17 1994 De nouvelles caractérisations des ensembles de Sidon. Zbl 0468.43008Pisier, Gilles 16 1981 A new approach to several results of V. Milman. Zbl 0692.46006Pisier, Gilles 15 1989 Type des espaces normes. Zbl 0257.46015Pisier, Gilles 14 1973 Some applications of the metric entropy condition to harmonic analysis. Zbl 0517.60043Pisier, Gilles 14 1983 Une nouvelle classe d’espace de Banach vérifiant le théorème de Grothendieck. Zbl 0363.46019Pisier, Gilles 14 1978 Une propriété de stabilité de la classe des espaces ne contenant pas \(\ell^1\). Zbl 0373.46033Pisier, Gilles 14 1978 The functional analysis of quantum information theory. A collection of notes based on lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter. Zbl 1431.81007Gupta, Ved Prakash; Mandayam, Prabha; Sunder, V. S. 14 2015 Remarks on the similarity degree of an operator algebra. Zbl 1112.46309Pisier, Gilles 13 2001 Completely bounded maps into certain Hilbertian operator spaces. Zbl 1079.46041Pisier, Gilles 13 2004 Caractérisation d’une classe d’espaces de Banach par des propriétés de séries aléatoires vectorielles. Zbl 0269.46015Maurey, Bernard; Pisier, Gilles 12 1973 Gaussian processes and mixed volumes. Zbl 0636.60036Milman, V. D.; Pisier, G. 12 1987 On the dimension of the \(l_ p^ n\)-subspaces of Banach spaces, for \(1 \leq p < 2\). Zbl 0509.46016Pisier, Gilles 12 1983 Ensembles de Sidon et processus gaussiens. Zbl 0374.43003Pisier, Gilles 12 1978 Les inégalités de Khintchine-Kahane d’apres C. Borell. Zbl 0388.60013Pisier, G. 12 1978 Are unitarizable groups amenable? Zbl 1113.43001Pisier, Gilles 12 2005 Quantum Banach spaces: An introduction to the theory of operators spaces. (Espaces de Banach quantiques: Une introduction à la théorie des espaces d’opérateurs.) Zbl 0947.46039Pisier, Gilles 11 1994 Projections from a von Neumann algebra onto a subalgebra. Zbl 0820.46058Pisier, Gilles 11 1995 Joint similarity problems and the generation of operator algebras with bounded length. Zbl 0932.47015Pisier, Gilles 11 1998 Regular operators between non-commutative \(L_ p\)-spaces. Zbl 0826.46056Pisier, Gilles 10 1995 Arithmetic characterizations of Sidon sets. Zbl 0505.43002Pisier, Gilles 10 1983 Some results on the continuity of stable processes and the domain of attraction of continuous stable processes. Zbl 0536.60048Marcus, M. B.; Pisier, G. 10 1984 The non-commutative Khintchine inequalities for \(0<p<1\). Zbl 1385.46045Pisier, Gilles; Ricard, Éric 10 2017 A similarity degree characterization of nuclear \(C^*\)-algebras. Zbl 1114.46044Pisier, Gilles 9 2006 The similarity degree of an operator algebra. Zbl 0911.47038Pisier, G. 9 1998 Non-commutative Khintchine type inequalities associated with free groups. Zbl 1091.46035Parcet, Javier; Pisier, Gilles 9 2005 Necessary and sufficient conditions for the uniform convergence of random trigonometric series. Zbl 0409.60036Marcus, M. B.; Pisier, G. 9 1978 Quantum expanders and geometry of operator spaces. Zbl 1307.46045Pisier, Gilles 9 2014 Remarks on complemented subspaces of von Neumann algebras. Zbl 0774.46032Pisier, G. 8 1992 The operator Hilbert space OH and type III von Neumann algebras. Zbl 1068.46034Pisier, Gilles 8 2004 Quadratic forms in unitary operators. Zbl 0889.47007Pisier, Gilles 8 1997 The “maximal” tensor product of operator spaces. Zbl 0940.46042Oikhberg, Timur; Pisier, Gilles 8 1999 An inequality for \(p\)-orthogonal sums in non-commutative \(L_p\). Zbl 0976.60016Pisier, Gilles 7 2000 Sur l’espace de Banach des séries de Fourier aléatoires presque surement continues. Zbl 0388.43009Pisier, G. 7 1978 Ideals in \(L(L_1)\). Zbl 1485.47123Johnson, W. B.; Pisier, G.; Schechtman, G. 7 2020 The operator Hilbert space and complex interpolation. (Espace de Hilbert d’opérateurs et interpolation complexe.) Zbl 0803.47039Pisier, Gilles 6 1993 Un théorème d’extrapolation et ses consequences. Zbl 0258.46031Maurey, Bernard; Pisier, Gilles 6 1973 Interpolation between \(H^ p\) spaces and non-commutative generalizations. II. Zbl 0788.46071Pisier, Gilles 6 1993 Conditions d’entropie assurant la continuite de certains processus et applications à l’analyse harmonique. Zbl 0441.60040Pisier, G. 6 1980 Sur les espaces de Banach K-convexes. Zbl 0445.46014Pisier, G. 6 1980 Remarks on the non-commutative Khintchine inequalities for \(0<p<2\). Zbl 1217.46042Pisier, Gilles 6 2009 Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach. Zbl 0403.60011Pisier, G. 6 1976 A remark on \({\Pi{}}_ 2(l_ p,l_ p)\). Zbl 0735.47026Pisier, Gilles 5 1990 The proportional UAP characterizes weak Hilbert spaces. Zbl 0758.46024Johnson, W. B.; Pisier, G. 5 1991 A simple proof of a theorem of Jean Bourgain. Zbl 0787.47021Pisier, G. 5 1992 ’Type’ des espaces normes. Zbl 0288.46013Pisier, G. 5 1974 Noncommutative vector valued \(L_ p\)- spaces and completely \(p\)-summing maps. (Espaces \(L_ p\) non commutatifs à valeurs vectorielles et applications complètement \(p\)-sommantes.) Zbl 0787.46053Pisier, Gilles 5 1993 Conditions d’entropie et caractérisations arithmétiques des ensembles de Sidon. Zbl 0539.43004Pisier, Gilles 5 1983 On the limit theorems for random variables with values in the spaces \(L_p\;(2\leq p<\infty)\). Zbl 0353.60011Pisier, Gilles; Zinn, Joel 5 1978 On the lifting property for \(C^{\ast}\)-algebras. Zbl 07629322Pisier, Gilles 1 2022 Tensor products of \(C^*\)-algebras and operator spaces. The Connes-Kirchberg problem. Zbl 1453.46002Pisier, Gilles 19 2020 Ideals in \(L(L_1)\). Zbl 1485.47123Johnson, W. B.; Pisier, G.; Schechtman, G. 7 2020 Completely Sidon sets in discrete groups. Zbl 1481.43004Pisier, Gilles 3 2020 A non-nuclear \(C^*\)-algebra with the weak expectation property and the local lifting property. Zbl 1465.46053Pisier, Gilles 3 2020 On a linearization trick. Zbl 1462.46063Pisier, Gilles 3 2018 Impossibility of dimension reduction in the nuclear norm. Zbl 1412.46036Naor, Assaf; Pisier, Gilles; Schechtman, Gideon 2 2018 Spectral gap properties of the unitary groups: around Rider’s results on non-commutative Sidon sets. Zbl 1436.43006Pisier, Gilles 1 2018 Completely Sidon sets in \(C^*\)-algebras. Zbl 1436.43007Pisier, Gilles 1 2018 The non-commutative Khintchine inequalities for \(0<p<1\). Zbl 1385.46045Pisier, Gilles; Ricard, Éric 10 2017 On uniformly bounded orthonormal Sidon systems. Zbl 1385.43001Pisier, Gilles 4 2017 Martingales in Banach spaces. Zbl 1382.46002Pisier, Gilles 85 2016 A continuum of \(C^\ast\)-norms on \(\mathbb{B}(H)\otimes\mathbb{B}(H)\) and related tensor products. Zbl 1408.46051Ozawa, Narutaka; Pisier, Gilles 4 2016 The functional analysis of quantum information theory. A collection of notes based on lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter. Zbl 1431.81007Gupta, Ved Prakash; Mandayam, Prabha; Sunder, V. S. 14 2015 On the metric entropy of the Banach-Mazur compactum. Zbl 1320.46013Pisier, Gilles 3 2015 Quantum expanders and geometry of operator spaces. Zbl 1307.46045Pisier, Gilles 9 2014 Random matrices and subexponential operator spaces. Zbl 1327.46054Pisier, Gilles 2 2014 Martingale inequalities and operator space structures on \(L_p\). Zbl 1330.46054Pisier, Gilles 1 2014 Grothendieck’s theorem, past and present. Zbl 1244.46006Pisier, Gilles 77 2012 Completely co-bounded Schur multipliers. Zbl 1268.46037Pisier, Gilles 1 2012 Real interpolation between row and column spaces. Zbl 1245.46047Pisier, Gilles 4 2011 Complex interpolation between Hilbert, Banach and operator spaces. Zbl 1213.46002Pisier, Gilles 20 2010 Remarks on the non-commutative Khintchine inequalities for \(0<p<2\). Zbl 1217.46042Pisier, Gilles 6 2009 Simultaneous similarity, bounded generation and amenability. Zbl 1160.46037Pisier, Gilles 4 2007 A similarity degree characterization of nuclear \(C^*\)-algebras. Zbl 1114.46044Pisier, Gilles 9 2006 Remarks on \(B(H)\otimes B(H)\). Zbl 1116.46048Pisier, Gilles 4 2006 Are unitarizable groups amenable? Zbl 1113.43001Pisier, Gilles 12 2005 Non-commutative Khintchine type inequalities associated with free groups. Zbl 1091.46035Parcet, Javier; Pisier, Gilles 9 2005 Completely bounded maps into certain Hilbertian operator spaces. Zbl 1079.46041Pisier, Gilles 13 2004 The operator Hilbert space OH and type III von Neumann algebras. Zbl 1068.46034Pisier, Gilles 8 2004 On Read’s proof that \(B(\ell_1)\) is not amenable. Zbl 1072.46032Pisier, G. 2 2004 Introduction to operator space theory. Zbl 1093.46001Pisier, Gilles 300 2003 Non-commutative \(L^p\)-spaces. Zbl 1046.46048Pisier, Gilles; Xu, Quanhua 263 2003 Stochastic approximation properties in Banach spaces. Zbl 1059.46017Fonf, V. P.; Johnson, W. B.; Pisier, G.; Preiss, D. 4 2003 Operator spaces. Zbl 1041.46042Pisier, Gilles 2 2003 Laurent Schwartz (1915–2002). Zbl 1159.01350Treves, François; Pisier, Gilles; Yor, Marc 1 2003 Grothendieck’s theorem for operator spaces. Zbl 1033.46044Pisier, Gilles; Shlyakhtenko, Dimitri 42 2002 Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts. Zbl 0983.42006Nazarov, F.; Pisier, G.; Treil, S.; Volberg, A. 24 2002 Similarity problems and completely bounded maps. Includes the solution to “The Halmos problem”. 2nd, expanded ed. Zbl 0971.47016Pisier, Gilles 53 2001 Remarks on the similarity degree of an operator algebra. Zbl 1112.46309Pisier, Gilles 13 2001 Similarity problems and length. Zbl 0999.46025Pisier, Gilles 4 2001 An inequality for \(p\)-orthogonal sums in non-commutative \(L_p\). Zbl 0976.60016Pisier, Gilles 7 2000 The similarity degree of an operator algebra. II. Zbl 0949.47055Pisier, Gilles 4 2000 On a question of Niels Grønbaek. Zbl 0977.46006Pisier, Gilles 1 2000 The volume of convex bodies and Banach space geometry. Zbl 0933.46013Pisier, Gilles 27 1999 The “maximal” tensor product of operator spaces. Zbl 0940.46042Oikhberg, Timur; Pisier, Gilles 8 1999 Non-commutative vector valued \(L_p\)-spaces and completely \(p\)-summing maps. Zbl 0937.46056Pisier, Gilles 142 1998 Joint similarity problems and the generation of operator algebras with bounded length. Zbl 0932.47015Pisier, Gilles 11 1998 The similarity degree of an operator algebra. Zbl 0911.47038Pisier, G. 9 1998 Non-commutative martingale inequalities. Zbl 0898.46056Pisier, Gilles; Xu, Quanhua 113 1997 A polynomially bounded operator on Hilbert space which is not similar to a contraction. Zbl 0869.47014Pisier, Gilles 47 1997 Quadratic forms in unitary operators. Zbl 0889.47007Pisier, Gilles 8 1997 The degree of similarity of an operator algebra. (Le degré de similarité d’une algèbre d’opérateurs.) Zbl 0884.46036Pisier, Gilles 4 1997 The operator Hilbert space \(OH\), complex interpolation and tensor norms. Zbl 0932.46046Pisier, Gilles 89 1996 A simple proof of a theorem of Kirchberg and related results on \(C^*\)-norms. Zbl 0858.46045Pisier, Gilles 21 1996 Non-commutative martingale inequalities. (Inégalités de martingales non commutatives.) Zbl 0865.60036Pisier, Gilles; Xu, Quanhua 4 1996 A polynomially bounded operator on a Hilbert space which is not similar to a contraction. (Un opérateur polynomialement borné sur un Hilbert qui n’est pas semblable à une contraction.) Zbl 0853.47014Pisier, Gilles 3 1996 Dvoretzky’s theorem for operator spaces. Zbl 0860.47029Pisier, Gilles 1 1996 Similarity problems and completely bounded maps. Zbl 0843.47010Pisier, Gilles 56 1995 Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\). Zbl 0832.46052Junge, M.; Pisier, G. 38 1995 Exact operator spaces. Zbl 0844.46031Pisier, Gilles 20 1995 Multipliers and lacunary sets in non-amenable groups. Zbl 0853.43008Pisier, Gilles 18 1995 Projections from a von Neumann algebra onto a subalgebra. Zbl 0820.46058Pisier, Gilles 11 1995 Regular operators between non-commutative \(L_ p\)-spaces. Zbl 0826.46056Pisier, Gilles 10 1995 The \(K_t\)-functional for the interpolation couple \(L^\infty (d\mu ; L^1(d\nu))\), \(L^\infty(d\nu ; L^1(d\mu))\). Zbl 0902.46049Heß, Albrecht; Pisier, Gilles 2 1995 Complex interpolation and regular operators between Banach lattices. Zbl 0991.46007Pisier, Gilles 17 1994 Quantum Banach spaces: An introduction to the theory of operators spaces. (Espaces de Banach quantiques: Une introduction à la théorie des espaces d’opérateurs.) Zbl 0947.46039Pisier, Gilles 11 1994 Bounded linear operators between \(C^*\)-algebras. Zbl 0803.46064Haagerup, Uffe; Pisier, Gilles 33 1993 The operator Hilbert space and complex interpolation. (Espace de Hilbert d’opérateurs et interpolation complexe.) Zbl 0803.47039Pisier, Gilles 6 1993 Interpolation between \(H^ p\) spaces and non-commutative generalizations. II. Zbl 0788.46071Pisier, Gilles 6 1993 Noncommutative vector valued \(L_ p\)- spaces and completely \(p\)-summing maps. (Espaces \(L_ p\) non commutatifs à valeurs vectorielles et applications complètement \(p\)-sommantes.) Zbl 0787.46053Pisier, Gilles 5 1993 The \(K_ t\)-functional for the interpolation couple \(L_ 1(A_ 0), L_{\infty}(A_ 1)\). Zbl 0791.46014Pisier, Gilles 4 1993 Operators factorizable through OH. (Sur les opérateurs factorisables par OH.) Zbl 0803.47040Pisier, Gilles 2 1993 Interpolation between \(H^ p\) spaces and non-commutative generalizations. I. Zbl 0747.46050Pisier, Gilles 39 1992 Factorization of operator valued analytic functions. Zbl 0791.47015Pisier, Gilles 18 1992 Remarks on complemented subspaces of von Neumann algebras. Zbl 0774.46032Pisier, G. 8 1992 A simple proof of a theorem of Jean Bourgain. Zbl 0787.47021Pisier, G. 5 1992 Multipliers and lacunary sets in non amenable groups. (Multiplicateurs et ensembles lacunaires dans les groupes non moyennables.) Zbl 0779.43002Pisier, Gilles 2 1992 Non commutative Khintchine and Paley inequalities. Zbl 0755.47029Lust-Piquard, Françoise; Pisier, Gilles 93 1991 The proportional UAP characterizes weak Hilbert spaces. Zbl 0758.46024Johnson, W. B.; Pisier, G. 5 1991 Completely bounded maps between sets of Banach space operators. Zbl 0747.46015Pisier, Gilles 17 1990 A remark on \({\Pi{}}_ 2(l_ p,l_ p)\). Zbl 0735.47026Pisier, Gilles 5 1990 The volume of convex bodies and Banach space geometry. Zbl 0698.46008Pisier, Gilles 362 1989 Factorization of analytic functions with values in non-commutative \(L_1\)-spaces and applications. Zbl 0821.46074Haagerup, Uffe; Pisier, Gilles 22 1989 A new approach to several results of V. Milman. Zbl 0692.46006Pisier, Gilles 15 1989 The strong p-variation of martingales and orthogonal series. Zbl 0632.60004Pisier, Gilles; Xu, Quanhua 39 1988 Weak Hilbert spaces. Zbl 0666.46009Pisier, Gilles 30 1988 Riesz transforms: A simpler analytic proof of P. A. Meyer’s inequality. Zbl 0645.60061Pisier, Gilles 26 1988 The dual \(J^ *\) of the James space has cotype 2 and the Gordon-Lewis property. Zbl 0649.46022Pisier, Gilles 4 1988 Gaussian processes and mixed volumes. Zbl 0636.60036Milman, V. D.; Pisier, G. 12 1987 Random series in the real interpolation spaces between the spaces \(v_ p\). Zbl 0634.46009Pisier, Gilles; Xu, Quanhua 4 1987 Factorization of linear operators and geometry of Banach spaces. Zbl 0588.46010Pisier, Gilles 174 1986 Probabilistic methods in the geometry of Banach spaces. Zbl 0606.60008Pisier, Gilles 59 1986 Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations. Zbl 0619.47016Pisier, Gilles 41 1986 Banach spaces with a weak cotype 2 property. Zbl 0611.46022Milman, Vitali D.; Pisier, Gilles 18 1986 Factorisation des opérateurs (q,p)-sommants sur les \(C^*\)-algèbres. (Factorization of (q,p)-summing operators on \(C^*\)-algebras). Zbl 0584.47017Pisier, Gilles 3 1985 Sur les opérateurs p-sommants et p-radonifiants pour \(p<1\). (p-summing and p-Radonifying operators for \(p<1)\). Zbl 0586.47017Pisier, Gilles 2 1985 Stochastic processes with sample paths in exponential Orlicz spaces. Zbl 0576.60031Marcus, Michael B.; Pisier, Gilles 2 1985 Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes. Zbl 0547.60047Marcus, M. B.; Pisier, G. 61 1984 Some results on the continuity of stable processes and the domain of attraction of continuous stable processes. Zbl 0536.60048Marcus, M. B.; Pisier, G. 10 1984 ...and 60 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,187 Authors 56 Junge, Marius 49 Pisier, Gilles 42 Sukochev, Fedor Anatol’evich 38 Naor, Assaf 35 Xu, Quanhua 31 Milman, Vitali D. 30 Le Merdy, Christian 28 Castillo, Jesús M. F. 26 Mendelson, Shahar 26 Tomczak-Jaegermann, Nicole 24 Bourgain, Jean 23 Parcet, Javier 21 Defant, Andreas 21 Hong, Guixiang 21 Ricard, Éric 21 Rosalsky, Andrew 20 Jiao, Yong 20 Palazuelos, Carlos 20 Popescu, Gelu 19 Mastyło, Mieczysław 19 Schechtman, Gideon 18 Cabello Sánchez, Félix 17 Pajor, Alain 17 Randrianantoanina, Narcisse 17 Veraar, Mark C. 16 Paouris, Grigoris 16 Pellegrino, Daniel Marinho 16 Ruan, Zhongjin 16 Sánchez-Pérez, Enrique Alfonso 16 Szarek, Stanislaw Jerzy 15 Johnson, William Buhmann 15 Kalton, Nigel John 15 Klartag, Bo’az 15 Todorov, Ivan G. 15 Volodin, Andrei I. 15 Weis, Lutz W. 15 Zanin, Dmitriy V. 14 Giné-Masdéu, Evarist 14 Oikhberg, Timur 14 Osękowski, Adam 14 Ostrovskii, Mikhail Iosifovich 13 Bekjan, Turdebek N. 13 Blecher, David P. 13 Giannopoulos, Apostolos A. 13 Ozawa, Narutaka 13 Wu, Lian 12 Brzeźniak, Zdzisław 12 Carl, Bernd 12 Linde, Werner 12 Paulsen, Vern Ival 12 Pérez-García, David 12 Talagrand, Michel 12 Tropp, Joel A. 11 de la Salle, Mikael 11 Ferenczi, Valentin 11 Godefroy, Gilles 11 Haagerup, Uffe Valentin 11 Han, Yazhou 11 Lê Vǎn Thành 11 Litvak, Aleksandr Evgen’evich 11 Müller, Paul F. X. 11 Peller, Vladimir Vsevolodovich 11 Popa, Dumitru 11 van Neerven, Jan M. A. M. 11 Zinn, Joel 10 Caspers, Martijn 10 Guédon, Olivier 10 Hytönen, Tuomas P. 10 Kislyakov, Sergeĭ Vital’evich 10 Marcus, Michael B. 10 Mei, Tao 10 Pop, Florin 10 Rodríguez-Piazza, Luis 10 Shao, Jingjing 9 Bastero, Jesús 9 Botelho, Geraldo 9 Carando, Daniel G. 9 Causey, Ryan Michael 9 Dilworth, Stephen J. 9 Eleftherakis, George K. 9 Fernández-Unzueta, Maite 9 Figiel, Tadeusz 9 García, Ricardo 9 Heinrich, Stefan 9 John, Kamil 9 Lee, Hun Hee 9 Lupini, Martino 9 Neufang, Matthias 9 Schlumprecht, Thomas 9 Smith, Roger R. 9 Vershynin, Roman 9 Zhou, Dejian 9 Zizler, Vaclav E. 8 Aleksandrov, Aleksei B. 8 Blasco, Oscar 8 Bobkov, Sergey Germanovich 8 Gan, Shixin 8 Gao, Li 8 Gordon, Yehoram 8 Huang, Jinghao ...and 2,087 more Authors all top 5 Cited in 338 Serials 297 Journal of Functional Analysis 129 Journal of Mathematical Analysis and Applications 127 Israel Journal of Mathematics 122 Proceedings of the American Mathematical Society 96 Transactions of the American Mathematical Society 71 Advances in Mathematics 56 Mathematische Annalen 47 Integral Equations and Operator Theory 43 Probability Theory and Related Fields 41 Communications in Mathematical Physics 39 Positivity 31 Journal of Approximation Theory 30 Studia Mathematica 26 Mathematische Zeitschrift 26 Journal of Theoretical Probability 26 Stochastic Processes and their Applications 25 The Annals of Probability 25 Statistics & Probability Letters 24 Journal of Multivariate Analysis 23 Lithuanian Mathematical Journal 23 Linear Algebra and its Applications 23 The Journal of Fourier Analysis and Applications 23 Comptes Rendus. 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Mathematical Sciences 7 Expositiones Mathematicae 7 Journal of Convex Analysis 7 Wuhan University Journal of Natural Sciences (WUJNS) 7 Journal of Machine Learning Research (JMLR) 7 Mediterranean Journal of Mathematics 7 Stochastics 7 Electronic Journal of Statistics 7 Analysis & PDE 7 Forum of Mathematics, Sigma 6 Canadian Mathematical Bulletin 6 Journal of the London Mathematical Society. Second Series 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Quaestiones Mathematicae 6 Advances in Applied Mathematics 6 Constructive Approximation 6 Mathematical Programming. Series A. Series B 6 Applied and Computational Harmonic Analysis 6 Electronic Journal of Probability ...and 238 more Serials all top 5 Cited in 56 Fields 1,682 Functional analysis (46-XX) 839 Operator theory (47-XX) 635 Probability theory and stochastic processes (60-XX) 267 Harmonic analysis on Euclidean spaces (42-XX) 196 Convex and discrete geometry (52-XX) 143 Abstract harmonic analysis (43-XX) 103 Quantum theory (81-XX) 91 Statistics (62-XX) 86 Topological groups, Lie groups (22-XX) 81 Approximations and expansions (41-XX) 71 Functions of a complex variable (30-XX) 66 Linear and multilinear algebra; matrix theory (15-XX) 62 Computer science (68-XX) 61 Measure and integration (28-XX) 56 Group theory and generalizations (20-XX) 55 Combinatorics (05-XX) 51 Real functions (26-XX) 48 Partial differential equations (35-XX) 46 Numerical analysis (65-XX) 42 Information and communication theory, circuits (94-XX) 40 Operations research, mathematical programming (90-XX) 32 Mathematical logic and foundations (03-XX) 32 Dynamical systems and ergodic theory (37-XX) 27 General topology (54-XX) 26 Global analysis, analysis on manifolds (58-XX) 25 Several complex variables and analytic spaces (32-XX) 25 Geometry (51-XX) 23 Differential geometry (53-XX) 17 Difference and functional equations (39-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Associative rings and algebras (16-XX) 14 Nonassociative rings and algebras (17-XX) 13 History and biography (01-XX) 13 Number theory (11-XX) 13 Integral transforms, operational calculus (44-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Ordinary differential equations (34-XX) 9 Algebraic geometry (14-XX) 8 Integral equations (45-XX) 7 Algebraic topology (55-XX) 6 Category theory; homological algebra (18-XX) 6 \(K\)-theory (19-XX) 5 General and overarching topics; collections (00-XX) 5 Special functions (33-XX) 5 Sequences, series, summability (40-XX) 5 Fluid mechanics (76-XX) 4 Potential theory (31-XX) 4 Biology and other natural sciences (92-XX) 3 Manifolds and cell complexes (57-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Geophysics (86-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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