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The Bartle-Dunford-Schwartz Integral: Integration with Respect to a Sigma-Additive Vector Measure
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Catalogue Information
Field name
Details
Dewey Class
515.42
Title
The Bartle-Dunford-Schwartz Integral ([Ebook]) : Integration with Respect to a Sigma-Additive Vector Measure / by T. V. Panchapagesan.
Author
Panchapagesan, Thiruvaiyaru V.
Other name(s)
SpringerLink (Online service)
Publication
Basel : Birkhäuser , 2008.
Physical Details
: online resource.
Series
Monografie Matematyczne, Instytut Matematyczny Polskiej Akademii Nauk (IMPAN)
; 69
ISBN
9783764386023
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is available only for subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-7643-8602-3
Links to Related Works
Subject References:
Mathematics
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Measure and Integration
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Authors:
Panchapagesan, Thiruvaiyaru V.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Monografie Matematyczne, Instytut Matematyczny Polskiej Akademii Nauk (IMPAN)
.
Classification:
515.42
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