The continuity of multiplication for two topologies associated with a semifinite trace on von Neumann algebra.
Bikchentaev, A. M. (2004)
Lobachevskii Journal of Mathematics
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Bikchentaev, A. M. (2004)
Lobachevskii Journal of Mathematics
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T. V. Panchapagesan (1993)
Extracta Mathematicae
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Jan Hamhalter (1992)
Mathematica Bohemica
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It is shown that every von Neumann algebra whose centre determines the state space is already abelian.
Stanisław Goldstein (1984)
Studia Mathematica
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Allah-Bakhsh Thaheem (1979)
Aplikace matematiky
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The author proves that on a von Neumann albebra (possibly of uncountable cardinality) there exists a family of states having mutually orthogonal supports (projections) converging to the identity operator.
Carlo Cecchini (1998)
Banach Center Publications
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The aim of this paper is to study markovianity for states on von Neumann algebras generated by the union of (not necessarily commutative) von Neumann subagebras which commute with each other. This study has been already begun in [2] using several a priori different notions of noncommutative markovianity. In this paper we assume to deal with the particular case of states which define odd stochastic couplings (as developed in [3]) for all couples of von Neumann algebras involved. In this...
L.J. Bunce, J. Hamhalter (1994)
Mathematische Zeitschrift
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Muratov, M.A., Chilin, V.I. (2005)
Zapiski Nauchnykh Seminarov POMI
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Stanisław Goldstein, Hans Jarchow, Louis E. Labuschagne (2006)
Banach Center Publications
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We consider compactness, weak compactness and complete continuity for multiplication operators on von Neumann algebras and their preduals.
Huzihiro Araki (1975)
Recherche Coopérative sur Programme n°25
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