Introduction to Linear Operator Theory

by Vasile I. Istratescu

Overview

This book is an introduction to the subject and is devoted to standard material on linear functional analysis, and presents some ergodic theorems for classes of operators containing the quasi-compact operators. It discusses various classes of operators connected with the numerical range.

Product Details

ISBN-13:	9781000146325
Publisher:	CRC Press
Publication date:	08/13/2020
Series:	Chapman & Hall/CRC Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	608
File size:	135 MB
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About the Author

Vasile I. Istratescu (Author)

Table of Contents

1. Preliminaries: Set Theory and General Topology 2. Banach Spaces 3. Hilbert Spaces 4. Banach Algebras 5. Spectral Representation of Operators on Hilbert Spaces 6. The Numerical Range 7. Nonnormal Classes of Operators 8. Conditions Implying Normality 9. Symmetrizable Operators: Generalizations and Applications 10. Invariant Subspaces and Some Structure Theorems 11. The Weyl Spectrum of an Operator 12. Analytic and Quasi-Analytic Vectors 13. Schwarz Norms 14. Maximum Theorems for Operator-Valued Holomorphic 15. Uniform Ergodic Theorems for Some Classes of Operators