Fredholm theory in Banach spaces (Theori Fredholm yng ngofodau Banach)

Ruston, Anthony F. (Anthony Francis)

ISBN 10: 0521248469 / ISBN 13: 9780521248464

Published by Cambridge University, 1986

About this Item

Hardcover; Cambridge Tracts in Mathematics, No. 86; light fading, light shelf wear to exterior; former owner's stamping on title page; light smudge on front endpaper edge and edge of following page; otherwise in very good condition with clean text, firm binding. Bibliography: p. 250-284. Includes index.

Seller Inventory # 62420

Bibliographic Details

• Title: Fredholm theory in Banach spaces (Theori Fredholm yng ngofodau Banach)
• Publisher: Cambridge University
• Publication Date: 1986
• Language: English
• ISBN 10: 0521248469
• ISBN 13: 9780521248464
• Binding: Hardcover
• Condition: UsedVeryGood

About this title

Synopsis

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.

Book Description

In this tract Dr Ruston presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind. Every effort has been made to keep the presentation as elementary as possible, using arguments that do not require a very advanced background, for those working in the general area of functional analysis and its applications.