Order properties of compact maps on L...-spaces associated with von Neumann algebras.
Erwin Neuhardt (1990)
Mathematica Scandinavica
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Erwin Neuhardt (1990)
Mathematica Scandinavica
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T. V. Panchapagesan (1993)
Extracta Mathematicae
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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.
Stanisław Goldstein (1984)
Studia Mathematica
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L.J. Bunce, J. Hamhalter (1994)
Mathematische Zeitschrift
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Huzihiro Araki (1975)
Recherche Coopérative sur Programme n°25
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S. Doplicher, R. Longo (1984)
Inventiones mathematicae
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Erling Stormer (1972)
Mathematica Scandinavica
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Carlo Cecchini (1995)
Mathematica Scandinavica
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Alfons Van Daele (1978)
Bulletin de la Société Mathématique de France
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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...