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

版	1st ed. 2009.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	X, 356 p : online resource
著者標目	*Roth, Walter author SpringerLink (Online service)
件　名	LCSH:Measure theory LCSH:Functional analysis FREE:Measure and Integration FREE:Functional Analysis
一般注記	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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