Walter Roth - Operator-Valued Measures and Integrals for Cone-Valued Functions

Walter Roth - Operator-Valued Measures and Integrals for Cone-Valued Functions
Published: 2009-02-05 | ISBN: 3540875646 | PDF | 366 pages | 2.84 MB

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.

FilePost

-----------------------------------------------