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<図書>
Fredholm theory in Banach spaces = Theori Fredholm yng ngofodau Banach

責任表示 Anthony F. Ruston
シリーズ Cambridge tracts in mathematics ; 86
データ種別 図書
出版者 Cambridge [England] ; New York : Cambridge University Press
出版年 1986
本文言語 英語
大きさ x, 293 p. ; 24 cm
概要 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 ov...r 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. 続きを見る

所蔵情報


理系図3F 数理独自 068222186004186 RUST/30/1 1986

書誌詳細

一般注記 Bibliography: p. 250-284
Includes index
著者標目 *Ruston, Anthony F. (Anthony Francis), 1920-
件 名 LCSH:Banach spaces
LCSH:Fredholm equations
LCSH:Fredholm operators
NDLSH:バナッハ空間
分 類 LCC:QA322.2
DC19:515.7/32
NDC8:415.5
書誌ID 1001386682
ISBN 0521248469
NCID BA0013434X
巻冊次 ISBN:0521248469
登録日 2009.11.02
更新日 2009.11.02

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