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<図書>
Interpolation functors and interpolation spaces

責任表示 Yu.A. Brudnyĭ, N.Ya. Krugljak
シリーズ North-Holland mathematical library ; v. 47
データ種別 図書
出版者 Amsterdam ; Tokyo : North-Holland
出版者 New York, N.Y., U.S.A. : Distributors for the U.S. and Canada, Elsevier Science Pub. Co
出版年 1991
本文言語 英語
大きさ 1 v. ; 23 cm
概要 The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calderoac...te;n, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory of elliptic boundary value problems related to the scale of Sobolev spaces. Later on, applications were found in many other areas of mathematics: harmonic analysis, approximation theory, theoretical numerical analysis, geometry of Banach spaces, nonlinear functional analysis, etc. Besides this the theory has a considerable internal beauty and must by now be regarded as an independent branch of analysis, with its own problems and methods. Further development in the 1970s and 1980s included the solution by the authors of this book of one of the outstanding questions in the theory of the real method, the K -divisibility problem. In a way, this book harvests the results of that solution, as well as drawing heavily on a classic paper by Aronszajn and Gagliardo, which appeared in 1965 but whose real importance was not realized until a decade later. This includes a systematic use of the language, if not the theory, of categories. In this way the book also opens up many new vistas which still have to be explored. This volume is the first of three planned books. Volume II will deal with the complex method, while Volume III will deal with applications. 続きを見る

所蔵情報

V. 1. 理系図 自動書庫 068582191010303 413/B 78/2/1 1991

書誌詳細

一般注記 Translation from the Russian by Natalie Wadhwa
Includes bibliographical references and index
著者標目 *Brudnyĭ, I︠U︡. A
Krugljak, N. Ya
件 名 LCSH:Lionear topological spaces
LCSH:Functor theory
LCSH:Interpolation spaces
分 類 LCC:QA322
DC20:515/.73
NDC8:415.5
書誌ID 1001401623
ISBN 0444880011
NCID BA12121640
巻冊次 v. 1 ; ISBN:0444880011
登録日 2009.11.02
更新日 2009.11.02

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