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Beschreibung
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
| Verlag | Springer Berlin |
| Ersterscheinung | 05. Februar 2009 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 563 Gramm |
| Format | Softcover |
| ISBN-13 | 9783540875642 |
| Seiten | 356 |
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