Operator-Valued Measures and Integrals for Cone-Valued Functions

von Walter Roth

356 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540875642
• Sprache: Englisch
• Erscheinungsdatum: 05.02.2009
• Genre: Mathematik/Analysis
• Verlag: Springer Berlin