Hilbert Space: Compact Operators and the Trace Theorem (London Mathematical Society Student Texts, Series Number 27) - Hardcover

Retherford, J. R.

Hardcover

ISBN 10: 0521418844 ISBN 13: 9780521418843

Publisher: Cambridge University Press, 1993

Synopsis

The aim of 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. The author assumes the reader is familiar with 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.

About this title

Book Description

Assuming familiarity with linear algebra and advanced calculus, this self-contained treatment of Hilbert space theory leads to an elementary proof of the Lidskij trace theorem and an introduction to the ideas of compact, self-adjoint, Hilbert-Schmidt and trace class operators.

Review

"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

Edition details

• Publisher: Cambridge University Press
• Publication date: 1993
• Language: English
• ISBN 10: 0521418844
• ISBN 13: 9780521418843
• Binding: Hardcover
• Edition number: 1
• Number of pages: 144