J. R. Retherford,
J. R. (Louisiana State University) Retherford
Cambridge University Press
e druk, 1993
9780521429337
Hilbert Space
Compact Operators and the Trace Theorem
Specificaties
Paperback, 144 blz.
|
Engels
Cambridge University Press |
e druk, 1993
ISBN13: 9780521429337
Rubricering
Onderdeel van serie
London Mathematical
Levertijd ongeveer 8 werkdagen
Samenvatting
Professor Retherford's aim in this book is to provide the reader with a virtually self-contained treatment of Hilbert space theory, leading to an elementary proof of the Lidskij trace theorem. He assumes the reader is familiar with only linear algebra and advanced calculus, and develops everything needed to introduce the ideas of compact, self-adjoint, Hilbert-Schmidt and trace class operators. Many exercises and hints are included, and throughout the emphasis is on a user-friendly approach. Advanced undergraduates and graduate students will find that this book presents a unique introduction to operators and Hilbert space.
Specificaties
ISBN13:9780521429337
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:144
Uitgever:Cambridge University Press
Serie:London Mathematical
Inhoudsopgave
1. Preliminaries; 2. Orthogonality; 3. Isomorphisms and isometries; 4. Bounded linear operators; 5. Elementary spectral theory; 6. Self-adjoint operators; 7. Compact operators on Hilbert space; 8. Square roots; 9. The weak Weyl inequality; 10. Hilbert–Schmidt and trace class operators; 11. The Lidskij trace theorem; Bibliography.