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Fundamentals of the Theory of Operator Algebras. Volume III
Richard V. Kadison and John R. Ringrose
cover
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1991; 273 pp; softcover
ISBN-10: 0-8218-9469-2
ISBN-13: 978-0-8218-9469-9
List Price: US$43
Member Price: US$34.40
Order Code: FTOAN/3.S
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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.

Readership

Graduate students, research mathematicians, educators, and mathematical physicists interested in functional analysis, operator algebras, and applications.

Reviews

"A fitting companion to the existing volumes and a welcome addition to the literature on functional analysis. The exercises ... were carefully designed by the authors to illustrate the results of the text and to expand its scope ... the authors' solutions ... are models of clarity and efficiency, reflecting their vast experience and insight into the subject."

-- Mathematical Reviews

"The organization (exercise groupings), extra index of Volumes III and IV and the special bibliography will be very helpful in finding material for seminar or private projects."

-- Monatshefte für Mathematik

Table of Contents

  • Linear spaces--exercises and solutions
  • Basics of Hilbert space and linear operators--exercises and solutions
  • Banach algebras--exercises and solutions
  • Elementary \(C^*\)-algebra theory--exercises and solutions
  • Elementary von Neumann algebra theory--exercises and solutions
  • Bibliography
  • Index
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