Operators on hilbert space [electronic resource] / V. S. Sunder.
Sunder, V. S.| Call Number | 515.724 |
| Author | Sunder, V. S. |
| Title | Operators on hilbert space V. S. Sunder. |
| Edition | 1st ed. |
| Physical Description | 1 online resource (111 pages) |
| Series | Texts and Readings in Mathematics ; 71 |
| Contents | Operators on hilbert space -- Preface -- Acknowledgements -- Contents -- Chapter 1. Hilbert space -- Chapter 2. The Spectral Theorem -- Chapter 3. Beyond normal operators -- Appendix -- Bibliography -- Index -- Text and Readings in Mathematics. |
| Summary | This book's principal goals are: (i) to present the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus, (ii) to present a proof without digressing into a course on the Gelfand theory of commutative Banach algebras, (iii) to introduce the reader to the basic facts concerning the various von Neumann-Schatten ideals, the compact operators, the trace-class operators and all bounded operators, and finally, (iv) to serve as a primer on the theory of bounded linear operators on separable Hilbert space. |
| Subject | MATHEMATICS / Functional Analysis. Electronic books. |
| Multimedia |
Total Ratings:
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$a Operators on hilbert space -- Preface -- Acknowledgements -- Contents -- Chapter 1. Hilbert space -- Chapter 2. The Spectral Theorem -- Chapter 3. Beyond normal operators -- Appendix -- Bibliography -- Index -- Text and Readings in Mathematics.
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$a This book's principal goals are: (i) to present the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus, (ii) to present a proof without digressing into a course on the Gelfand theory of commutative Banach algebras, (iii) to introduce the reader to the basic facts concerning the various von Neumann-Schatten ideals, the compact operators, the trace-class operators and all bounded operators, and finally, (iv) to serve as a primer on the theory of bounded linear operators on separable Hilbert space.
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| Summary | This book's principal goals are: (i) to present the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus, (ii) to present a proof without digressing into a course on the Gelfand theory of commutative Banach algebras, (iii) to introduce the reader to the basic facts concerning the various von Neumann-Schatten ideals, the compact operators, the trace-class operators and all bounded operators, and finally, (iv) to serve as a primer on the theory of bounded linear operators on separable Hilbert space. |
| Contents | Operators on hilbert space -- Preface -- Acknowledgements -- Contents -- Chapter 1. Hilbert space -- Chapter 2. The Spectral Theorem -- Chapter 3. Beyond normal operators -- Appendix -- Bibliography -- Index -- Text and Readings in Mathematics. |
| Subject | MATHEMATICS / Functional Analysis. Electronic books. |
| Multimedia |