Decomposition of von Neumann algebras of Tyye I .
S. SANKARAN (1961)
Mathematische Annalen
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S. SANKARAN (1961)
Mathematische Annalen
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L.J. Bunce, J. Hamhalter (1994)
Mathematische Zeitschrift
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T. V. Panchapagesan (1993)
Extracta Mathematicae
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Huzihiro Araki (1975)
Recherche Coopérative sur Programme n°25
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M. BREUER (1968)
Mathematische Annalen
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M. BREUER (1969)
Mathematische Annalen
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Ajda Fošner, Feng Wei, Zhankui Xiao (2013)
Colloquium Mathematicae
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Motivated by the powerful and elegant works of Miers (1971, 1973, 1978) we mainly study nonlinear Lie-type derivations of von Neumann algebras. Let 𝓐 be a von Neumann algebra without abelian central summands of type I₁. It is shown that every nonlinear Lie n-derivation of 𝓐 has the standard form, that is, can be expressed as a sum of an additive derivation and a central-valued mapping which annihilates each (n-1)th commutator of 𝓐. Several potential research topics related to our...
Hichem Ben-El-Mechaiekh, Robert Dimand (2007)
Banach Center Publications
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S. Doplicher, R. Longo (1984)
Inventiones mathematicae
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Carlo Cecchini (1995)
Mathematica Scandinavica
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Yoshihiro Nakamura, Fumio Hiai (1987)
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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.
Ky Fan (1987)
Mathematische Zeitschrift
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