Locally Compact Semi-Algebras
With applications to spectral theory of positive operators
Elsevier (Publisher)
Published on 26. August 2011
101 pages
978-0-08-087120-2 (ISBN)
Description
Locally Compact Semi-Algebras
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Content
- Front Cover
- Locally Compact Semi-Algebras: with applications to spectral theory of positive operators
- Copyright Page
- CONTENTS
- Preface
- LIST OF SYMBOLS AND NOTATIONS
- PRELIMINARIES
- CHAPTER I. COMPACT MONOTHETIC SEMIGROUPS
- 1. Jointly continuous multiplication
- 2. Semigroups in Banach algebras
- 3. Separately continuous multiplication
- 4. Semigroups of operators in the weak operator topology
- 5. Many-idempotent semigroups
- Notes on Chapter I
- CHAPTER II. LOCALLY COMPACT SEMI-ALGEBRAS
- 1. Definitions and examples
- 2. Idempotents
- 3. Simple locally compact semi-algebras
- Notes on Chapter II
- CHAPTER III. SEMI-SIMPLE LOCALLY COMPACT MONOTHETIC
- 1. Definitions and elementary properties
- 2. Semi-simplicity and strictness
- 3. The non-strict case
- Notes on Chapter III
- CHAPTER IV. POSITIVE OPERATORS
- 1. Strict semi-algebras
- 2. The Krein-Rutman theorem and some of its generalizations
- 3. Irreducible positive operators
- Notes on Chapter IV
- REFERENCES
- SUBJECT INDEX
