The Bartle-Dunford-Schwartz Integral : Integration with Respect to a Sigma-Additive Vector Measure
Publication year: 2008
: 978-3-7643-8602-3
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.
: Mathematics and Statistics, Hausdorff space, integration theory, measure, measure theory, vector measure
