Continuity of sublinear operators on F-spaces.
Michael Neumann (1978/79)
Manuscripta mathematica
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Michael Neumann (1978/79)
Manuscripta mathematica
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Jan Janas, Sergey Simonov (2010)
Studia Mathematica
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We consider a discrete Schrödinger operator 𝒥 with Wigner-von Neumann potential not belonging to l². We find the asymptotics of orthonormal polynomials associated to 𝒥. We prove a Weyl-Titchmarsh type formula, which relates the spectral density of 𝒥 to a coefficient in the asymptotics of the orthonormal polynomials.
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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Ky Fan (1987)
Mathematische Zeitschrift
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Dieter Pumplün, Helmut Röhrl (1969)
Manuscripta mathematica
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Peng Lizhong (1987)
Mathematica Scandinavica
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Rolf Kultzke (1976)
Manuscripta mathematica
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M. Gromov, M.A. Shubin (1991)
Geometric and functional analysis
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M. Gromov, M. Shubin (1995)
Geometric and functional analysis
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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...
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...
Georg Schumacher (1982)
Manuscripta mathematica
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Gelu Popescu (1991)
Mathematica Scandinavica
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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)...
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.
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.
Lawrence G. Brown (1994)
Journal für die reine und angewandte Mathematik
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