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 domian 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. Treats in detail the vectorial Radon integration. Explores an interplay between, on the one side, linear operators, transfering real (complex)functions onto elements of locally convex Hausdorff spaces, and vector-valuedmeasures, on the other. INDICE: 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.
- ISBN: 978-3-7643-8601-6
- Editorial: Birkhaüser
- Encuadernacion: Cartoné
- Páginas: 350
- Fecha Publicación: 01/03/2008
- Nº Volúmenes: 1
- Idioma: Inglés