Hilbert Space

Compact Operators and the Trace Theorem

AvJ. R. Retherford

Häftad, Engelska, 1993

Del 27 i serien London Mathematical Society Student Texts

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1993-07-08
Mått:153 x 228 x 17 mm
Vikt:207 g
Format:Häftad
Språk:Engelska
Serie:London Mathematical Society Student Texts
Antal sidor:144
Förlag:Cambridge University Press
ISBN:9780521429337

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

"Retherford's book...is like a tour to the top of a mountain. Every step is devoted to the final goal, the trace formula...the book is written in a style which reveals the author's enthusiasm. Thus it could be good prpaganda for functional analysis...this is a remarkable book which forces the student to understand mathematics and to be careful." A. Pietsch, Mathematical Reviews

Innehållsförteckning

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.