This survey of operators in Hilbert space offers extensive background material and covers domains of representation, operators in the enveloping algebra, spectral theory, covariant representation, and infinite-dimensional Lie algebras. 1988 edition.
This survey of operators in Hilbert space offers extensive background material and covers domains of representation, operators in the enveloping algebra, spectral theory, covariant representation, and infinite-dimensional Lie algebras. 1988 edition.
Foreword Preface to the Dover Edition Preface Acknowledgments Part I. Background Material 1. Introduction and Overview 2. Definitions and Terminology 3. Operators in Hilbert Space 4. The Imprimitivity Theorem Part II. Algebras of Operators on Hilbert Space 5. Domains of Representations 6. Operators in the Enveloping Algebra 7. Spectral Theory Part III. Covariant Representations and Connections 8. Infinite-Dimensional Lie Algebras Appendix. Integrability of Lie Algebras Bibliography Index
Foreword Preface to the Dover Edition Preface Acknowledgments Part I. Background Material 1. Introduction and Overview 2. Definitions and Terminology 3. Operators in Hilbert Space 4. The Imprimitivity Theorem Part II. Algebras of Operators on Hilbert Space 5. Domains of Representations 6. Operators in the Enveloping Algebra 7. Spectral Theory Part III. Covariant Representations and Connections 8. Infinite-Dimensional Lie Algebras Appendix. Integrability of Lie Algebras Bibliography Index
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