Some remarks on the convergence in measure and on a dominated sequence of operators measurable with respect to a semifinite von Neumann algebra
Leszek Jan Ciach (1988)
Colloquium Mathematicae
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Leszek Jan Ciach (1988)
Colloquium Mathematicae
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Vasile I. Istrăţescu (1984)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Si estende un risultato di N. Suzuki sulla convergenza della serie di Neumann per un operatore compatto in uno spazio di Banach.
Hichem Ben-El-Mechaiekh, Robert Dimand (2007)
Banach Center Publications
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Lawrence G. Brown (1994)
Journal für die reine und angewandte Mathematik
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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.
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.
Otto Moeschlin (2006)
Banach Center Publications
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Reyes, Edgar N. (1997)
Journal of Lie Theory
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H. Woźniakowski (1971)
Applicationes Mathematicae
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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.
Santtu Ruotsalainen (2012)
Studia Mathematica
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Antilinear operators on a complex Hilbert space arise in various contexts in mathematical physics. In this paper, an analogue of the Weyl-von Neumann theorem for antilinear self-adjoint operators is proved, i.e. that an antilinear self-adjoint operator is the sum of a diagonalizable operator and of a compact operator with arbitrarily small Schatten p-norm. On the way, we discuss conjugations and their properties. A spectral integral representation for antilinear self-adjoint operators...
Stanisław Goldstein, Hans Jarchow, Louis E. Labuschagne (2006)
Banach Center Publications
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We consider compactness, weak compactness and complete continuity for multiplication operators on von Neumann algebras and their preduals.
Erwin Neuhardt (1990)
Mathematische Zeitschrift
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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...
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...
John B. Conway, James J. Dudziak (1990)
Journal für die reine und angewandte Mathematik
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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....
Bikchentaev, A. M. (2004)
Lobachevskii Journal of Mathematics
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Ky Fan (1987)
Mathematische Zeitschrift
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