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Fredholm Theory in Banach Spaces : Cambridge Tracts in Mathematics - Anthony Francis Ruston

Fredholm Theory in Banach Spaces

Cambridge Tracts in Mathematics

Paperback

Published: 2nd August 2004
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In this tract, Dr Ruston presents analogues for operators on Banach spaces of Fredholm"s solution of integral equations of the second kind. Much of the presentation is based on research carried out over the last twenty-five years and has never appeared in book form before. Dr Ruston begins with the construction for operators of finite rank, using Fredholm"s original method as a guide. He then considers formulae that have structure similar to those obtained by Fredholm, using, and developing further, the relationship with Riesz theory. In particular, he obtains bases for the finite-dimensional subspaces figuring in the Riesz theory. Finally he returns to the study of specific constructions for various classes of operators. Dr Ruston has made every effort to keep the presentation as elementary as possible, using arguments that do not require a very advanced background. Thus the book can be read with profit by graduate students as well as specialists working in the general area of functional analysis and its applications.

Preface
Introduction
Asymptotically quasi-compact operators and the Riesz theory
Tensor products of normed spaces
Fredholm theory for operators of finite rank
Operators with a Fredholm determinant
Fredholm formulae and the Riesz theory
Fredholm formulae for special classes of operators
Notes and comments
Bibliography
Index of notations
Subject index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521604932
ISBN-10: 0521604931
Series: Cambridge Tracts in Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 304
Published: 2nd August 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.9 x 15.2  x 1.7
Weight (kg): 0.45