Titlebook: Gleason‘s Theorem and Its Applications; Anatolij Dvure?enskij Book 1993 Springer Science+Business Media B.V. 1993 Finite.Lattice.Probabili

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Book 1993y even today. The theory of quantum logics is a major stream in this axiomatical knowledge river, where L(H), the system of all closed subspaces of a Hilbert space H, due to J. von Neumann, plays an important role. When A.M. Gleason published his solution to G. Mackey‘s problem showing that any stat

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Tsuneyoshi Nakayama,Hiroyuki ShimaThe origins of modern probability theory can be traced to 1933, with the publication of the book “.” by A.N. Kolmogorov, in which he first axiomatized contemporary probability theory.

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Theoretische Aspekte neuronaler Netzwerke,In the previous two chapters we presented some applications of Gleason’s theorem: (1) a characterization of non-measurable cardinals via Gleason states and σ-finite measures (Theorem 3.5.1), and (2) measure-theoretic completeness criteria (Chapter 4), where Gleason’s theorem for finite-dimensional spaces has played a central role.

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Introduction,The origins of modern probability theory can be traced to 1933, with the publication of the book “.” by A.N. Kolmogorov, in which he first axiomatized contemporary probability theory.

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,Gleason’s Theorem,In his investigation of the mathematical foundations of quantum mechanics, Mackey [242] posed the following problem: .(.) ..

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