Operator-Valued Measures and Integrals for Cone-Valued Functions

Paperback Engels 2009 2009e druk 9783540875642
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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.

Specificaties

ISBN13:9783540875642
Taal:Engels
Bindwijze:paperback
Aantal pagina's:356
Uitgever:Springer Berlin Heidelberg
Druk:2009

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Inhoudsopgave

Locally Convex Cones.- Measures and Integrals. The General Theory.- Measures on Locally Compact Spaces.

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        Operator-Valued Measures and Integrals for Cone-Valued Functions