On von Neumann regular rings - II.
R. Yue Chi Ming (1976)
Mathematica Scandinavica
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R. Yue Chi Ming (1976)
Mathematica Scandinavica
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C. Jayaram (1990)
Colloquium Mathematicae
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Bo Stenström (1980)
Publications mathématiques et informatique de Rennes
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Hichem Ben-El-Mechaiekh, Robert Dimand (2007)
Banach Center Publications
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H. Woźniakowski (1971)
Applicationes Mathematicae
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A.V. Mikhalev, U. Knauer, K.I. Beidar (1994)
Semigroup forum
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Otto Moeschlin (2006)
Banach Center Publications
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Peter A. Linnell (1993)
Forum mathematicum
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Michael Skeide (2006)
Banach Center Publications
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The category of von Neumann correspondences from 𝓑 to 𝓒 (or von Neumann 𝓑-𝓒-modules) is dual to the category of von Neumann correspondences from 𝓒' to 𝓑' via a functor that generalizes naturally the functor that sends a von Neumann algebra to its commutant and back. We show that under this duality, called commutant, Rieffel's Eilenberg-Watts theorem (on functors between the categories of representations of two von Neumann algebras) switches into Blecher's Eilenberg-Watts theorem...
Jan Chabrowski, Jianfu Yang (2005)
Annales Polonici Mathematici
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We establish the existence of multiple solutions of an asymptotically linear Neumann problem. These solutions are obtained via the mountain-pass principle and a local minimization.
J. Chabrowski (2007)
Colloquium Mathematicae
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We investigate the solvability of the linear Neumann problem (1.1) with L¹ data. The results are applied to obtain existence theorems for a semilinear Neumann problem.
Ky Fan (1987)
Mathematische Zeitschrift
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Robert Pluta, Bernard Russo (2015)
Studia Mathematica
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It is well known that every derivation of a von Neumann algebra into itself is an inner derivation and that every derivation of a von Neumann algebra into its predual is inner. It is less well known that every triple derivation (defined below) of a von Neumann algebra into itself is an inner triple derivation. We examine to what extent all triple derivations of a von Neumann algebra into its predual are inner. This rarely happens but it comes close. We prove a (triple)...
Giovanni Panti (2011)
Acta Arithmetica
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Peng Lizhong (1987)
Mathematica Scandinavica
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Dirk Huylebrouck (1991)
Czechoslovak Mathematical Journal
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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...