Fundamentals of the Theory of Operator Algebras

Special Topics Volume III Elementary Theory—An Exercise Approach

Kadison, Ringrose (Autoren)

Buch | Softcover

274 Seiten

2011 | Softcover reprint of the original 1st ed. 1991
Springer-Verlag New York Inc.
978-1-4612-7834-4 (ISBN)

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These volumes are companions to the treatise; "Fundamentals of the Theory of Operator Algebras," which appeared as Volume 100 - I and II in the series, Pure and Applied Mathematics, published by Academic Press in 1983 and 1986, respectively. As stated in the preface to those volumes, "Their primary goal is to teach the sub ject and lead the reader to the point where the vast recent research literature, both in the subject proper and in its many applications, becomes accessible." No attempt was made to be encyclopCEdic; the choice of material was made from among the fundamentals of what may be called the "classical" theory of operator algebras. By way of supplementing the topics selected for presentation in "Fundamentals," a substantial list of exercises comprises the last section of each chapter. An equally important purpose of those exer cises is to develop "hand-on" skills in use of the techniques appearing in the text. As a consequence, each exercise was carefully designed to depend only on the material that precedes it, and separated into segments each of which is realistically capable of solution by an at tentive, diligent, well-motivated reader.

1. Linear Spaces — Exercises and Solutions.- 2. Basics of Hilbert Space and Linear Operators — Exercises and Solutions.- 3. Banach Algebras — Exercises and Solutions.- 4. Elementary C*-Algebra Theory — Exercises and Solutions.- 5. Elementary von Neumann Algebra Theory — Exercises and Solutions.

Erscheint lt. Verlag	30.9.2011
Zusatzinfo	XIV, 274 p.
Verlagsort	New York
Sprache	englisch
Maße	152 x 229 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-4612-7834-1 / 1461278341
ISBN-13	978-1-4612-7834-4 / 9781461278344
Zustand	Neuware