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Author Panchapagesan, T. V., author.

Title The Bartle-Dunford-Schwartz integral : integration with respect to a sigma-additive vector measure / T.V. Panchapagesan
Published Basel ; Boston : Birkhäuser, ©2008
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Description 1 online resource (xv, 301 pages)
Series Monografie matematyczne ; new ser., v. 69
Monografie matematyczne ; new ser., v. 69.
Contents Preface -- 1. Preliminaries -- 2. Basic Properties of the Bartle-Dunford-Schwartz Integral -- 3. Lp-Spaces -- 4. Integration with Respect to LcHs-valued Measures -- 5. Applications to Integration in Locally Compact Hausdorff Spaces I -- 6. Applications to Integration in Locally Compact Hausdorff Spaces II -- 7. Complements to the Thomas Theory of Vectorial Radon Integration -- References -- List of symbols -- Index
Summary This volume is a thorough and comprehensive treatise on vector measures. The functions to be integrated can be either 0, infinity]- or real- or complex-valued and the vector measure can take its values in arbitrary locally convex Hausdorff spaces. Moreover, the domain of the vector measure does not have to be a sigma-algebra: it can also be a delta-ring. The book contains not only a large amount of new material but also corrects various errors in well-known results available in the literature. It will appeal to a wide audience of mathematical analysts
Bibliography Includes bibliographical references (pages 287-292) and index
Notes Print version record
Subject Vector-valued measures.
MATHEMATICS -- Functional Analysis.
Measure and Integration.
Vector-valued measures.
Vector-valued measures.
Form Electronic book
ISBN 9783764386023