Gobble 发表于 2025-3-26 23:34:45
Generalized Gleason Theorem,t space extends to a linear functional on all bounded operators. The lattice of all projections on a Hilbert space . can be characterized among von Neumann projection lattices as being atomic and irreducible. Thus, Gleason Theorem covers only very special situation in this respect. Besides, it is imIntruder 发表于 2025-3-27 01:47:39
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Orthomorphisms of Projections,(which describes the probability structure in question), and the group of automorphisms of the algebra (which expresses the time development of the system). It is the ambition of the logico-algebraic approach to quantum mechanics, as it was articulated by Mackey , to recover all these aspects fdisparage 发表于 2025-3-27 15:33:34
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Jauch-Piron States,vesgtiated. It was seen that basic tools of classical analysis can be established for the quantum measure spaces given by ordered structures of projections. One of the most essential achievements along this line is the Gleason Theorem that guarantees the existence of quantum integral and underlinesPerigee 发表于 2025-3-27 23:38:05
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Generalized Gleason Theorem,portant to describe . measures on projection lattices and not only completely additive ones. In this connection, a natural question arises of whether or not Gleason Theorem can be extended to finitely additive measures on projection lattices of general von Neumann algebra. This question was first posed by Mackey .比目鱼 发表于 2025-3-28 09:13:06
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