Introduction to Operator Space Theory (London Mathematical by Gilles Pisier

Off Functional Analysis

By Gilles Pisier

the speculation of operator areas is especially fresh and will be defined as a non-commutative Banach house concept. An 'operator house' is just a Banach area with an embedding into the gap B(H) of all bounded operators on a Hilbert house H. the 1st a part of this booklet is an creation with emphasis on examples that illustrate quite a few elements of the speculation. the second one half is dedicated to functions to C*-algebras, with a scientific exposition of tensor items of C*-algebras. The 3rd (and shorter) a part of the booklet describes functions to non self-adjoint operator algebras, and similarity difficulties. particularly the author's counterexample to the 'Halmos challenge' is gifted, in addition to paintings at the new suggestion of 'length' of an operator algebra. Graduate scholars mathematicians attracted to useful research, operator algebras and theoretical physics will locate that this publication has a lot to offer.

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