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The Operator Hilbert Space OH, Complex Interpolation and Tensor Norms
In the recently developed duality theory of operator spaces (as developed by Effros-Ruan and Blecher-Paulsen) bounded operators are replaced by completely bounded ones, …
Complex Interpolation Between Hilbert, Banach and Operator Spaces
Introduction to Operator Space Theory
The theory of operator spaces is very recent and can be described as a non-commutative Banach space theory. An ‘operator space’ is simply a Banach space with an embedding into the …
Pisier:Factor Linear Oper Cbms 60 P Expanded Lectures
Examines the central question of which Banach spaces $X$ and $Y$ have the property that every bounded operator from $X$ to $Y$ factors through a Hilbert space, in particular when …
Random Fourier Series with Applications to Harmonic Analysis. (AM-101), Volume 101
In this book the authors give the first necessary and sufficient conditions for the uniform convergence a.s. of random Fourier series on locally compact Abelian groups and on …
The Volume of Convex Bodies and Banach Space Geometry
This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the …
Tensor Products of C*-Algebras and Operator Spaces
Based on the author's university lecture courses, this book presents the many facets of one of the most important open problems in operator algebra theory. Central to this book is …