Keyword

operator spaces

Description: Operator spaces are vector spaces equipped with matrix norms that model subspaces of bounded operators, central to functional analysis.

Primary topic: Advanced Operator Algebra Research (47%)

Wikidata ID: wiki/Q7097841

OpenAlex ID: keywords/operator-spaces

Completely Bounded Maps and Operator Algebras

2003 · Vern Paulsen · Cambridge University Press eBooks · 1,519

Introduction to Operator Space Theory

2003 · Gilles Pisier · Cambridge University Press eBooks · 748

Completely bounded maps and dilations

1987 · Vern I. Paulsen · John Wiley & Sons, Inc. eBooks · 537

Injectivity and operator spaces

1977 · Man-Duen Choi, Edward G. Effros · Journal of Functional Analysis · 513

Lectures on Amenability

2002 · Volker Runde · Lecture notes in mathematics · 414

Positive linear maps of operator algebras

1963 · Erling Størmer · Acta Mathematica · 355

Operator Algebras and Their Modules: An Operator Space Approach

2005 · David P. Blecher, Christian Le Merdy · 335

A theory of cross-spaces

1950 · Robert Schatten · Medical Entomology and Zoology · 301

Sharp uniform convexity and smoothness inequalities for trace norms

1994 · Keith Ball, Eric A. Carlen, et al. · Inventiones mathematicae · 289

Tensor products of operator spaces

1991 · David P Blecher, Vern I Paulsen · Journal of Functional Analysis · 264

Noncommutative vector valued $L_p$-spaces and completely $p$-summing maps

1993 · Pisier, Gilles · arXiv (Cornell University) · 261

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Positive Linear Maps on C*-Algebras

1972 · Man-Duen Choi · Canadian Journal of Mathematics · 240

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Grothendieck’s Theorem, past and present

2011 · Gilles Pisier · Bulletin of the American Mathematical Society · 236

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Journal of Operator Theory

2026 · Fuller, Adam H., Hartz, Michael, et al. · Journal of Operator Theory · 210

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Spaces of compact operators

1974 · N. J. Kalton · Mathematische Annalen · 208

Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces

1994 · Marek Bożejko, Roland Speicher · Mathematische Annalen · 201

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The operator Hilbert space OH, complex interpolation, and tensor norms

1996 · Gilles Pisier · 198

Foundations of Free Noncommutative Function Theory

2014 · Dmitry Kaliuzhnyi-Verbovetskyi, Victor Vinnikov · Mathematical surveys and monographs · 192

Estimates of Singular Numbers of Integral Operators

1977 · M Sh Birman, M Z Solomyak · Russian Mathematical Surveys · 188

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Extension theory of formally normal and symmetric subspaces

1973 · Earl A. Coddington · Memoirs of the American Mathematical Society · 187

Non-commutative Banach function spaces

1989 · Peter G. Dodds, Theresa K. -Y. Dodds, et al. · Mathematische Zeitschrift · 173

Symmetric norms and spaces of operators

2008 · N. J. Kalton, F. A. Sukochev · Journal für die reine und angewandte Mathematik (Crelles Journal) · 168

The standard dual of an operator space

1992 · David Blecher · Pacific Journal of Mathematics · 156

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On Approximation Properties for Operator Spaces

1990 · EDWARD G. EFFROS, ZHONG-JIN RUAN · International Journal of Mathematics · 147

Unbounded Violation of Tripartite Bell Inequalities

2008 · D. Pérez-García, M. M. Wolf, et al. · Communications in Mathematical Physics · 141

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Works count: 1,522

Citation count: 18,970