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Lecture Notes in Mathematics: Operator-Valued Measures and Integrals for Cone-Valued Functions (Volume 1964) Paperback - 2009
by Roth, Walter
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- Paperback
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Details
- Title Lecture Notes in Mathematics: Operator-Valued Measures and Integrals for Cone-Valued Functions (Volume 1964)
- Author Roth, Walter
- Binding Paperback
- Edition U. S. EDITION
- Pages 356
- Volumes 1
- Language ENG
- Publisher Springer
- Publication date 2009
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Table of Contents
- Bookseller's Inventory # 5780255
- ISBN 9783540875642 / 3540875646
- Weight 1.2 lbs (0.54 kg)
- Dimensions 9.1 x 6.1 x 0.8 in (23.11 x 15.49 x 2.03 cm)
- Category Mathematics
- Dewey Decimal Code 515.42
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From the publisher
From the rear cover
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.
