Advanced Integration Theory: 454 - Rilegato

Constantinescu, Corneliu; Filter, Wolfgang; Weber, Karl

 
9780792352341: Advanced Integration Theory: 454
Rilegato
ISBN 10: 0792352343 ISBN 13: 9780792352341
Casa editrice: Kluwer Academic Publishers, 1998

Sinossi

This text gives a general definition of the (abstract) integral, using the Daniell method. A consequence of this approach is the fact that integration theory on Hausdorff topological spaces appears simply to be a special case of abstract integration theory. The most important tool for the development of the abstract theory is the theory of vector lattices which is presented here in great detail. Its consequent application not only yields 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. The exercises occupy an important part of the volume. In addition to their usual role, some of them treat separate topics related to vector lattices and integration theory. This work should be of interest to graduate-level students and researchers with a background in real analysis, whose work involves (abstract) measure and integration, vector lattices, real functions of a real variable, probability theory and integral transforms.

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Contenuti

Preface. Introduction. Suggestions to the Reader. 0. Preliminaries. 1. Vector Lattices. 2. Elementary Integration Theory. 3. Lp-Spaces. 4. Real Measures. 5. The Radon-Nikodym Theorem Duality. 6. The Classical Theory of Real Functions. Historical Remarks. Name Index. Subject Index. Symbol Index.

Product Description

Book by Constantinescu Corneliu Filter Wolfgang Weber Karl

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Editore
Kluwer Academic Publishers
Data di pubblicazione
1998
Lingua
Inglese
ISBN 10 
0792352343
ISBN 13 
9780792352341
Rilegatura
Copertina rigida
Numero di pagine
900
Contatto del produttore
non disponibile
Persona responsabile
ProductSafety@springernature.com
ProductSafety@springernature.com

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Darmstadt
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Germania

Altre edizioni note dello stesso titolo

9789401037396: Advanced Integration Theory: 454

Edizione in evidenza

ISBN 10:  9401037396 ISBN 13:  9789401037396
Casa editrice: Springer Nature, 2012
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