Lecture Notes in Mathematics

Roth, Walter

Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for real-valued functions and measures whereas suprema and infima are replaced with topological limits in the vector-valued case.

A novel approach employing more general structures, locally convex cones, which are natural generalizations of locally convex vector spaces, is introduced here. This setting allows developing a general theory of integration which simultaneously deals with all of the above-mentioned cases.

Details

Published by: Springer

Publication Date: 2009-02-05

Format: Paperback

ISBN-13: 9783540875642

DOI: 10.1007/978-3-540-87565-9

Dimensions: 235cm x155cm

Pages: 356