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Operator-Valued Measures and Integrals for Cone-Valued Functions
Paperback
Series: Lecture Notes in Mathematics, Book 1964
ISBN13: 9783540875642
Publisher: Springer Nature
Published: Feb 5 2009
Pages: 356
Weight: 1.20
Height: 0.80 Width: 6.10 Depth: 9.10
Language: English
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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