J. R. Retherford,
J. R. (Louisiana State University) Retherford
Hilbert Space
Compact Operators and the Trace Theorem
Gebonden Engels 1993 9780521418843
Verwachte levertijd ongeveer 9 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
ISBN13:9780521418843
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:144
Uitgever:Cambridge University Press
Serie:London Mathematical
Lezersrecensies
Wees de eerste die een lezersrecensie schrijft!
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.
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