Operator-valued measures and integrals for cone-valued functions
Author(s)
Bibliographic Information
Operator-valued measures and integrals for cone-valued functions
（Lecture notes in mathematics, 1964）
Springer, c2009
Available at / 53 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1964200010693699
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Note
Bibliography: p. 345-352
Includes index
Description and Table of Contents
Description
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.
Table of Contents
Locally Convex Cones.- Measures and Integrals. The General Theory.- Measures on Locally Compact Spaces.
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