**Contemporary Mathematics**

Volume: 128;
1992;
273 pp;
Softcover

MSC: Primary 47;
Secondary 46

Print ISBN: 978-0-8218-5139-5

Product Code: CONM/128

List Price: $56.00

Individual Member Price: $44.80

**Electronic ISBN: 978-0-8218-7716-6
Product Code: CONM/128.E**

List Price: $56.00

Individual Member Price: $44.80

# New Approaches in Spectral Decomposition

Share this page *Edited by *
*Ridgley Lange; Shengwang Wang*

Aimed at a general mathematical audience, this book provides a careful exposition of recent developments in the theory of spectral decomposition. Bringing the reader from the basics up to the level of current research in the area, Lange and Wang present a readable account of the techniques used in the theory and applications of decomposable operators and related classes of operators. The book begins with a discussion of criteria for decomposable and related types of operators, and an analysis that relates and distinguishes among them. Perturbation theory of decomposable and other operators, applications to classical Hilbert space operators, quasisimilarity, and a new class of weakly decomposable operators are also discussed. The book closes with an exposition of some classical theories on invariant subspaces for subdecomposable and hyponormal operators, and a presentation of the parallel spectral theory of commuting systems.

#### Table of Contents

# Table of Contents

## New Approaches in Spectral Decomposition

- Table of Contents v6 free
- Preface vii8 free
- Chapter I: Foundations 112 free
- Chapter II: Perturbation Theory 5364
- Chapter III: Weakly Decomposable Operators and Automatic Continuity 7990
- Chapter IV: Invariant Subspaces for Subdecomposable Operators 115126
- Chapter V: Multivariate Theory 159170
- Notes and Comments 255266
- Bibliography 259270
- Index 271282

#### Reviews

The book is certainly helpful to obtain an impression of the various possible definitions of spectral decomposition properties and their innumerable interrelations.

-- Mathematical Reviews

A well readable introduction into the subject.

-- Zentralblatt MATH