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＜E-Book＞
Operator-Valued Measures and Integrals for Cone-Valued Functions / by Walter Roth
(Lecture Notes in Mathematics. ISSN:16179692 ; 1964)

Edition	1st ed. 2009.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2009
Language	English
Size	X, 356 p : online resource
Authors	*Roth, Walter author SpringerLink (Online service)
Subjects	LCSH:Measure theory LCSH:Functional analysis FREE:Measure and Integration FREE:Functional Analysis
Notes	Locally Convex Cones -- Measures and Integrals. The General Theory -- Measures on Locally Compact Spaces 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 HTTP:URL=https://doi.org/10.1007/978-3-540-87565-9

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