Walter Roth
Operator-Valued Measures and Integrals for Cone-Valued Functions
Buch
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…
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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.
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Produktdetails
- ISBN: 978-3-540-87564-2
- EAN: 9783540875642
- Produktnummer: 4287598
- Verlag: Springer Berlin Heidelberg
- Sprache: Englisch
- Erscheinungsjahr: 2009
- Seitenangabe: 372 S.
- Masse: H23.5 cm x B15.5 cm x D2.0 cm 563 g
- Auflage: 2009
- Abbildungen: Paperback
- Gewicht: 563
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