Retherford, J. R.,

Hilbert space : compact operators and the trace theorem / J.R. Retherford. - Cambridge : Cambridge University Press, 1993. - 1 online resource (xii, 131 pages) : digital, PDF file(s). - London Mathematical Society student texts ; 27 . - London Mathematical Society student texts ; 27. .

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

9781139172592 (ebook)


Hilbert space.

QA322.4 / .R48 1993

515/.733