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Record Nr. |
UNINA9910451719003321 |
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Autore |
Panchapagesan T. V |
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Titolo |
The Bartle-Dunford-Schwartz integral [[electronic resource] ] : integration with respect to a sigma-additive vector measure / / T.V. Panchapagesan |
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Pubbl/distr/stampa |
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Basel ; ; Boston, : Birkhäuser, c2008 |
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ISBN |
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1-281-86258-4 |
9786611862589 |
3-7643-8602-9 |
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Edizione |
[1st ed. 2008.] |
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Descrizione fisica |
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1 online resource (313 p.) |
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Collana |
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Monografie matematyczne ; ; 69 |
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Disciplina |
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Soggetti |
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Measure theory |
Vector-valued measures |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Preliminaries -- Basic Properties of the Bartle-Dunford-Schwartz Integral -- Lp-spaces, 1 ? p ? ? -- Integration With Respect to lcHs-valued Measures -- Applications to Integration in Locally Compact Hausdorff Spaces — Part I -- Applications to Integration in Locally Compact Hausdorff Spaces — Part II -- Complements to the Thomas Theory of Vectorial Radon Integration. |
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Sommario/riassunto |
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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. |
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