Advanced Integration Theory (Paperback, Softcover reprint of the original 1st ed. 1998)

This book gives a general definition of the (abstract) integral, using the Daniell method. A most welcome 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 new insight into integration theory, but also simplifies many proofs. For example, the space of real-valued measures on a delta-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. Audience: This work will 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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 454
Release date:	December 2012
First published:	1998
Authors:	Corneliu Constantinescu
Contributors:	Alexia Sontag
Authors:	Wolfgang Filter • Karl Weber
Dimensions:	240 x 160 x 44mm (L x W x T)
Format:	Paperback
Pages:	876
Edition:	Softcover reprint of the original 1st ed. 1998
ISBN-13:	978-9401037396
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
LSN:	9401037396
Barcode:	9789401037396

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