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Operator-Valued Measures and Integrals for Cone-Valued Functions

Name: Operator-Valued Measures and Integrals for Cone-Valued Functions
Brand: Springer, Berlin
SKU: 01570641
Price: 18708 HUF
Availability: InStock
Author: Walter Roth
ISBN: 9783540875642

Walter Roth

Language

English

Book Paperback

Libristo code: 01570641

Publishers Springer, Berlin, November 2008

Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and f... Full description

Libristo code: 01570641

125 b

18 708 Ft

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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.