| 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.
|
|
Mathematics.
|
|
Measure and Integration.
|
|
Vector-valued measures.
|
|
Vector-valued measures.
|
| Form |
Electronic book
|
| ISBN |
9783764386023 |
|
3764386029 |
|
9783764386016 |
|
3764386010 |
|
