Operator-Valued Measures and Integrals for Cone-Valued Functions
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.
| Autor: | Roth, Walter |
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| ISBN: | 9783540875642 |
| Sprache: | Englisch |
| Seitenzahl: | 356 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
| Veröffentlicht: | 05.02.2009 |
| Schlagworte: | Compact space Cone-valued functions DEX Integral representation Locally convex cones Natural Vector-valued measures Vector space boundary element method integral |