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The Bartle-Dunford-Schwartz Integral [electronic resource] :Integration with Respect to a Sigma-Additive Vector Measure / by T. V. Panchapagesan.

by Panchapagesan, T. V [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Monografie Matematyczne, Instytut Matematyczny Polskiej Akademii Nauk (IMPAN): 69Publisher: Basel : Birkhäuser Basel, 2008.Description: online resource.ISBN: 9783764386023.Subject(s): Mathematics | Mathematics | Measure and IntegrationDDC classification: 515.42 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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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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.

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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