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Operator-Valued Measures and Integrals for Cone-Valued Functions by Walter Roth

Operator-Valued Measures and Integrals for Cone-Valued Functions

by Walter Roth
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Book cover type: Paperback
  • ISBN13: 9783540875642
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 356
  • Original Price: EUR 49.99
  • Language: English
  • Edition: 2009
  • Item Weight: 561 grams
  • BISAC Subject(s): Functional Analysis and Mathematical Analysis

From the Back 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.

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