Fundamentals of the Theory of Operator Algebras: Elementary Theory - an Exercise Approach (3) - Couverture souple

Kadison, Richard V.; Ringrose, John R.

 
9780821894699: Fundamentals of the Theory of Operator Algebras: Elementary Theory - an Exercise Approach (3)

Synopsis

This volume is the companion volume to Fundamentals of the Theory of Operator Algebras. Volume I--Elementary Theory (Graduate Studies in Mathematics series, Volume 15). The goal of the text proper is to teach the subject and lead readers to where the vast literature--in the subject specifically and in its many applications--becomes accessible. The choice of material was made from among the fundamentals of what may be called the ""classical'' theory of operator algebras. This volume contains the written solutions to the exercises in the Fundamentals of the Theory of Operator Algebras. Volume I--Elementary Theory.

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Présentation de l'éditeur

Fundamentals of the Theory of Operator Algebras, Volume I: Elementary Theory provides information pertinent to the fundamental aspects of the theory of operator algebras. This book discusses the finite-dimensional linear algebra. Organized into five chapters, this volume begins with an overview of the fundamental aspects of linear functional analysis that are needed in the study of operator algebras. This text then discusses the continuous linear operators, continuous linear functionals, weak topologies, and convexity in the context of linear topological spaces. Other chapters consider the elementary geometry of Hilbertspaces and the simplest properties of Hilbert space operators. This book discusses as well algebras that have a Banach-space structure relative to which the multiplication is continuous. The final chapter deals with those C*-algebras that are strong-operator closed in their action on some Hilbert space, which play a fundamental role in the subject. This book is a valuable resource for mathematicians.

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Autres éditions populaires du même titre

9780821809907: Fundamentals of the Theory of Operator Algebras: Elementary Theory-an Exercise Approach

Edition présentée

ISBN 10 :  0821809903 ISBN 13 :  9780821809907
Editeur : American Mathematical Society, 2007
Couverture rigide