The Bartle-Dunford-Schwartz Integral: Integration with Respect to a Sigma-Additive Vector Measure

ISBN-13: 9783764386016 / Angielski / Twarda / 2008 / 304 str.

Thiruvaiyaru V. Panchapagesan

Opis

This volume is a thorough and comprehensive treatise on vector measures, treating the vectorial Radon integration in detail. It explores an interplay between, on the one side, linear operators, transferring real (complex) functions onto elements of locally convex Hausdorff spaces, and vector-valued measures, on the other. The book contains not only a large amount of new material but also corrects various errors in well-known results available in the literature.

Spis treści

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.