Operator-Valued Measures and Integrals for Cone-Valued Functions

By Walter Roth

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.

• Format: Paperback
• Language: English
• ISBN: 3540875646
• ISBN13: 9783540875642
• Release Date: February 2009
• Publisher: Springer
• Length: 356 Pages
• Weight: 1.20 lbs.
• Dimensions: 0.8" x 6.1" x 9.1"