Titlebook: Operator-Valued Measures and Integrals for Cone-Valued Functions; Walter Roth Book 2009 Springer-Verlag Berlin Heidelberg 2009 Compact spa

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Introduction,have been explored extensively, and integration theory as presented in the available standard texts uses different approaches in each of these cases. Both finitely and countably additive measures have been considered. However, finitely additive measures yield only limited results and are therefore n

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Locally Convex Cones,e unbounded elements and the general non-availability of the cancellation law..So why is it worth the effort? Endowed with suitable topologies, vector spaces yield rich and well-studied structures. Locally convex topological vector spaces permit an extensive duality theory whose study gives valuable

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Measures and Integrals. The General Theory,component of its extension. The development of an integration theory for cone-valued functions with respect to an operator-valued measure follows in Section 4. Section 5 contains the general convergence theorems for sequences of functions and measures, that is variations and adaptations of the domin

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Measures on Locally Compact Spaces,tion theorem for this type of operators in Section 5. Section 6 contains a long list of special cases and examples, including a generalization of the classical Spectral representation theorem for normal linear operators on a complex Hilbert space..Generally, the notations introduced in Chapters I an

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Measures and Integrals. The General Theory,ally convex cones will allow the use of many of the main concepts of classical measure theory for (extended) real-valued functions. Section 1 introduces measurability for cone-valued functions on a set . with respect to a (weak) σ-ring of subsets of .. This notion does not involve any reference to a

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