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.
Product Identifiers
Publisher
Cambridge University Press
ISBN-13
9780521604932
eBay Product ID (ePID)
96542385
Product Key Features
Author
Anthony Francis Ruston
Publication Name
Fredholm Theory in Banach Spaces
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2004
Type
Textbook
Number of Pages
304 Pages
Dimensions
Item Height
229mm
Item Width
152mm
Item Weight
450g
Additional Product Features
Title_Author
Anthony Francis Ruston
Series Title
Cambridge Tracts in Mathematics
Country/Region of Manufacture
United Kingdom
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