{
"item_title" : "Operator-Valued Measures and Integrals for Cone-Valued Functions",
"item_author" : [" Walter Roth "],
"item_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.",
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Overview
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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Details
- ISBN-13: 9783540875642
- ISBN-10: 3540875646
- Publisher: Springer
- Publish Date: February 2009
- Dimensions: 9.1 x 6.1 x 0.8 inches
- Shipping Weight: 1.2 pounds
- Page Count: 356
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