Nonlinear Lie-type derivations of von Neumann algebras and related topics

Ajda Fošner; Feng Wei; Zhankui Xiao

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Displaying similar documents to “Nonlinear Lie-type derivations of von Neumann algebras and related topics”

Triple derivations on von Neumann algebras

Robert Pluta, Bernard Russo (2015)

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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)...

Central extension of mappings on von Neumann algebras.

Mirzavaziri, M., Moslehian, M.S. (2009)

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A survey on the classification of factors of von Neumann algebras.

T. V. Panchapagesan (1993)

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Pseudotopologies with applications to one-parameter groups, von Neumann algebras, and Lie algebra representations

Jan Rusinek (1993)

Studia Mathematica

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For any pair E,F of pseudotopological vector spaces, we endow the space L(E,F) of all continuous linear operators from E into F with a pseudotopology such that, if G is a pseudotopological space, then the mapping L(E,F) × L(F,G) ∋ (f,g) → gf ∈ L(E,G) is continuous. We use this pseudotopology to establish a result about differentiability of certain operator-valued functions related with strongly continuous one-parameter semigroups in Banach spaces, to characterize von Neumann algebras,...

The von Neumann minimax theorem revisited

Hichem Ben-El-Mechaiekh, Robert Dimand (2007)

Banach Center Publications

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Centrally determined states on von Neumann algebras

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.

Jauch-Piron states on von Neumann algebras.

L.J. Bunce, J. Hamhalter (1994)

Mathematische Zeitschrift

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Modification of the alternating direction implicit method and connections with von Neumann's method

H. Woźniakowski (1971)

Applicationes Mathematicae

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Inequalities in Von Neumann Algebras

Huzihiro Araki (1975)

Recherche Coopérative sur Programme n°25

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Von Neumann models and the oeuvre of Jerzy Łoś

Otto Moeschlin (2006)

Banach Center Publications

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Markovian processes on mutually commuting von Neumann algebras

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...

Von Neumann Algebras Associated with Pairs of Lattices in Lie Groups..

Marc A. Rieffel (1981)

Mathematische Annalen

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A Spatial Characterization of ... Conditional Expectations on von Neumann Algebras.

Carlo Cecchini (1995)

Mathematica Scandinavica

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Commutants of von Neumann correspondences and duality of Eilenberg-Watts theorems by Rieffel and by Blecher

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...

Standard and split inclusions of von Neumann algebras.

S. Doplicher, R. Longo (1984)

Inventiones mathematicae

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