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Science/Engineering Operator-valued Measures and Integrals for Cone-valued Functions

Posted on 2010-03-15




Name:Science/Engineering Operator-valued Measures and Integrals for Cone-valued Functions
ASIN/ISBN:3540875646
Language:English
File size:3.4 Mb
Publish Date: 2009-02-01
ISBN: 3540875646
Pages: 346 pages
File Type: PDF
File Size: 3,4 MB
Other Info: Springer
   Science/Engineering Operator-valued Measures and Integrals for Cone-valued Functions

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Walter Roth "Operator-valued Measures and Integrals for Cone-valued Functions"

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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