The von Neumann minimax theorem revisited
Hichem Ben-El-Mechaiekh, Robert Dimand (2007)
Banach Center Publications
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Hichem Ben-El-Mechaiekh, Robert Dimand (2007)
Banach Center Publications
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Otto Moeschlin (2006)
Banach Center Publications
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H. Woźniakowski (1971)
Applicationes Mathematicae
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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...
T. V. Panchapagesan (1993)
Extracta 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...
Ky Fan (1987)
Mathematische Zeitschrift
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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.
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...
Giovanni Panti (2011)
Acta Arithmetica
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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.
François Castella (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present the semi-conductor Boltzmann equation, which is time-reversible, and indicate that it can be formally derived by considering the large time and small perturbing potential limit in the Von-Neumann equation (time-reversible). We then rigorously compute the corresponding asymptotics in the case of the Von-Neumann equation on the Torus. We show that the limiting equation we obtain does not coincide with the physically realistic model. The former is indeed an equation of Boltzmann...
Peng Lizhong (1987)
Mathematica Scandinavica
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Ravindran, K.T., Sudheer, K. (2010)
APPS. Applied Sciences
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Mirzavaziri, M., Moslehian, M.S. (2009)
General Mathematics
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L.J. Bunce, J. Hamhalter (1994)
Mathematische Zeitschrift
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J. Alonso, P. Martín, P. L. Papini (2008)
Studia Mathematica
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In recent times, many constants in Banach spaces have been defined and/or studied. Relations and inequalities among them (sometimes very complicated) have been indicated. But not much effort has been devoted to organize all connections, also because the literature on the subject is growing at an always bigger rate. Here we give some new connections which better the insight on some of them. In particular, we improve a known inequality between the von Neumann-Jordan and James constants. ...
Huzihiro Araki (1975)
Recherche Coopérative sur Programme n°25
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