Proceedings of the American Mathematical Society

Author(s): Marjan Matvejchuk
Journal: Proc. Amer. Math. Soc. 125 (1997), 245-250.
MSC (1991): Primary 81P10, 46L50, 46B09, 46C20, 03G12; Secondary 28A60
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Abstract: We characterize the set of all semiconstant measures on the hyperbolic logics of projections in indefinite metric spaces and describe the set of all probability measures on these logics.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 81P10, 46L50, 46B09, 46C20, 03G12, 28A60

Marjan Matvejchuk
Affiliation: Department of Mechanics and Mathematics, Kazan State University, 18 Lenin St., 420008, Kazan, Russia
Email: marjan@niimm.kazan.su

DOI: 10.1090/S0002-9939-97-03591-0
PII: S 0002-9939(97)03591-0
Keywords: Quantum logics, measure, indefinite metric space, $W^\ast$-algebra
Received by editor(s): February 14, 1994
Received by editor(s) in revised form: July 13, 1995
Additional Notes: Supported by The Russian Foundation for Fundamental Research, grant no. 93-011-16099.
Communicated by: J. Marshall Ash
Copyright of article: Copyright 1997, American Mathematical Society

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