• Anglický jazyk

Operator-Valued Measures and Integrals for Cone-Valued Functions

Autor: Walter Roth

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... Viac o knihe

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O knihe

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.

  • Vydavateľstvo: Springer Berlin Heidelberg
  • Rok vydania: 2009
  • Formát: Paperback
  • Rozmer: 235 x 155 mm
  • Jazyk: Anglický jazyk
  • ISBN: 9783540875642

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