| Operator-Valued Measures and Integrals for Cone-Valued Functions 2009 Edition Contributor(s): Roth, Walter (Author) |
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ISBN: 3540875646 ISBN-13: 9783540875642 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: February 2009 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Functional Analysis - Mathematics | Mathematical Analysis |
| Dewey: 515.42 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.8" H x 6.1" W x 9.1" (1.20 lbs) 356 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |