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Operator-Valued Measures and Integrals for Cone-Valued Functions / edited by J. -M. Morel, F. Takens, B. Teissier, Walter Roth

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink Bücher | Lecture notes in mathematics ; 1964Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009Description: Online-Ressource (digital)ISBN:
  • 9783540875659
Subject(s): Additional physical formats: 9783540875642 | Buchausg. u.d.T.: Operator-valued measures and integrals for cone-valued functions. Berlin : Springer, 2009. X, 356 S.DDC classification:
  • 515.42
MSC: MSC: *28-02RVK: RVK: SK 600 | SI 850LOC classification:
  • QA312-312.5
  • QA312
DOI: DOI: 10.1007/978-3-540-87565-9Online resources: Summary: Locally Convex Cones -- Measures and Integrals. The General Theory -- Measures on Locally Compact SpacesSummary: 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 casesPPN: PPN: 1647673593Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-LNM | ZDB-2-SMA
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