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Proceedings of the American Mathematical Society

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Semiconstant measures
on hyperbolic logics

Author: Marjan Matvejchuk
Journal: Proc. Amer. Math. Soc. 125 (1997), 245-250
MSC (1991): Primary 81P10, 46L50, 46B09, 46C20, 03G12; Secondary 28A60
MathSciNet review: 1350955
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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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Additional Information

Marjan Matvejchuk
Affiliation: Department of Mechanics and Mathematics, Kazan State University, 18 Lenin St., 420008, Kazan, Russia

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
Article copyright: © Copyright 1997 American Mathematical Society