Description
Book SynopsisThe goal of this text 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.
Trade ReviewA 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 fur Mathematik
Table of ContentsLinear 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
