Results 11 to 20 of about 24,765 (204)
Acting Semicircular Elements Induced by Orthogonal Projections on Von-Neumann-Algebras
Mathematics, 2017 In this paper, we construct a free semicircular family induced by Z -many mutually-orthogonal projections, and construct Banach ∗-probability spaces ...
Ilwoo Cho
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A Remark on the structure of symmetric quantum dynamical semigroups on von Neumann algebras [PDF]
, 2002 We study the structure of the generator of a symmetric, conservative quantum dynamical semigroup with norm-bounded generator on a von Neumann algebra equipped with a faithful semifinite trace. For von Neumann algebras with abelian commutant (i.e.
Albeverio, Sergio, Goswami, Debashish
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RIGIDITY FOR VON NEUMANN ALGEBRAS [PDF]
Proceedings of the International Congress of Mathematicians (ICM 2018), 2019 We survey some of the progress made recently in the classification of von Neumann algebras arising from countable groups and their measure preserving actions on probability spaces. We emphasize results which provide classes of (W$^*$-superrigid) actions that can be completely recovered from their von Neumann algebras and II$_1$ factors that have a ...
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Contractions in Von Neumann Algebras
Journal of Functional Analysis, 1996 Contractions with spectrum contained in the unit circle \(S^1=\{z:|z|=1\}\) can be very different from unitary operators. However, as the authors prove, in finite von Neumann algebras of Hilbert space operators the only contractions with \(\sigma(T) \subseteq S^1\) are the unitaries.
Cassier, Gilles, Fack, Thierry
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Quantum Probability Theory [PDF]
, 2005 The mathematics of classical probability theory was subsumed into classical measure theory by Kolmogorov in 1933. Quantum theory as nonclassical probability theory was incorporated into the beginnings of noncommutative measure theory by von Neumann in ...
Redei, Miklos, Summers, Stephen J.
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Algebras Generated by Finite Subgroups of Unitary Groups
Journal of Harbin University of Science and Technology, 2021 Group representation theory is one of the most powerful tools to study groups. The unitary group is an important research branch of group theories. We study a class of algebraic structures generated by unitary groups，and we prove that Alg( H) is a von ...
LUO Lai-zhen, LI Xing-hua, TAO Yuan-hong
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On weak convergence of iterates in quantum Lp-spaces (p≥1)
International Journal of Mathematics and Mathematical Sciences, 2005 Equivalent conditions are obtained for weak convergence of iterates of positive contractions in the L1-spaces for general von Neumann algebra and general JBW algebras, as well as for Segal-Dixmier Lp-spaces (1 ...
Genady Ya. Grabarnik +2 more
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Steering projections in von Neumann algebras [PDF]
Opuscula Mathematica, 2015 A steering projection of an arbitrary von Neumann algebra is introduced. It is shown that a steering projection always exists and is unique (up to Murray-von Neumann equivalence).
Adam Wegert
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Characterization of central elements of operator algebras by inequalities [PDF]
, 2015 We propose a list of inequalities which characterize central elements in von Neumann algebras and C ...
Novikov, Andrej, Tikhonov, Oleg
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Injective von Neumann algebras [PDF]
Proceedings of the American Mathematical Society, 1974 Injective von Neumann algebras are defined, and a characterization of them as complemented subspaces of L ( H ) \mathcal {L}(H) is given. Several examples and applications are discussed.
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