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<図書>
Advanced integration theory

責任表示 by Corneliu Constantinescu ... [et al.]
シリーズ Mathematics and its applications ; v. 454
データ種別 図書
出版者 Dordrecht : Kluwer Academic Publishers
出版年 c1998
本文言語 英語
大きさ ix, 861 p. ; 25 cm
概要 This book gives a general definition of the (abstract) integral using the Daniell method. A consequence of this approach is that integration theory on Hausdorff topological spaces appears to be a spe...ial case of abstract integration theory. The theory of vector lattices is presented, since it is a tool for the development of the abstract theory. Its consequent application not only yields new insight into integration theory, but also simplifies many proofs. For example, the space of real-valued measures on a d-ring turns out to be an order complete vector lattice, which permits a coherent development of the theory and the elegant derivation of many classical and new results. Exercises accompany each section. For graduate students and researchers. Annotation copyrighted by Book News, Inc., Portland, OR続きを見る

所蔵情報


理系図3F 数理独自 023211998007101 CONS/30/4 c1998

書誌詳細

一般注記 Includes indexes
著者標目 *Constantinescu, Corneliu
件 名 LCSH:Integrals, Generalized
LCSH:Measure theory
分 類 LCC:QA312
DC21:515/.42
書誌ID 1001394454
ISBN 0792352343
NCID BA38873120
巻冊次 ISBN:0792352343
登録日 2009.11.02
更新日 2009.11.02

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