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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Leszek J. Ciach
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CONTENTSIntroduction...............................................................................................................................................5§0. Fundamental definitions and notations...............................................................................................7§1. Subadditive measure on projectors of a von Neumann algebra.........................................................8§2. m-measurable operators. Convergence in measure.........................................................................10§3....
Barthélemy Le Gac, Ferenc Móricz (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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Let H be a separable complex Hilbert space, 𝓐 a von Neumann algebra in 𝓛(H), ϕ a faithful, normal state on 𝓐, and 𝓑 a commutative von Neumann subalgebra of 𝓐. Given a sequence (Xₙ: n ≥ 1) of operators in 𝓑, we examine the relations between bundle convergence in 𝓑 and bundle convergence in 𝓐.
Eva Hensz, Ryszard Jajte (1986)
Mathematische Zeitschrift
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Hichem Ben-El-Mechaiekh, Robert Dimand (2007)
Banach Center Publications
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Teresa Bermúdez, Antonio Martinón (1992)
Extracta Mathematicae
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Otto Moeschlin (2006)
Banach Center Publications
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H. Woźniakowski (1971)
Applicationes Mathematicae
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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.
Ky Fan (1987)
Mathematische Zeitschrift
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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.
Shavkat Ayupov, Karimbergen Kudaybergenov, Rauaj Djumamuratov (2012)
Open Mathematics
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Given a von Neumann algebra M, we consider the central extension E(M) of M. We introduce the topology t c(M) on E(M) generated by a center-valued norm and prove that it coincides with the topology of local convergence in measure on E(M) if and only if M does not have direct summands of type II. We also show that t c(M) restricted to the set E(M)h of self-adjoint elements of E(M) coincides with the order topology on E(M)h if and only if M is a σ-finite type Ifin von Neumann algebra. ...
Yoshihiro Nakamura, Fumio Hiai (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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I.N. Molchanov, E.F Galba (1985)
Numerische Mathematik
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Lawrence G. Brown (1994)
Journal für die reine und angewandte Mathematik
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