[DOWNLOAD] "Operator-Valued Measures and Integrals for Cone-Valued Functions" by Walter Roth * eBook PDF Kindle ePub Free
eBook details
- Title: Operator-Valued Measures and Integrals for Cone-Valued Functions
- Author : Walter Roth
- Release Date : January 17, 2008
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 9894 KB
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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