Download EBOOK Fredholm Theory in Banach Spaces PDF for free
Edition: CAMBRIDGE UNIVERSITY PRESS
Date of issue: 01 Sep 1986
Format files: EPUB, TXT, PDF, DOCX
The author of the book: Anthony F. Ruston
The size of the: 5.96 MB
Description of the book "Fredholm Theory in Banach Spaces":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 PDF 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.
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