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Operator-Valued Measures and Integrals for Cone-Valued Functions

Operator-Valued Measures and Integrals for Cone-Valued Functions

Walter Roth

65,89 €
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Editorial:
Springer Nature B.V.
Año de edición:
2009
Materia
Cálculo y análisis matemático
ISBN:
9783540875642
65,89 €
IVA incluido
Disponible

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Sobre IBD

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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