A Family of Type III Factorswithout Property L.
A fixed point approach to the stability of a quadratic functional equation in -algebras.
A fixed point approach to the stability of -morphisms on Hilbert -modules.
A fixed point theorem for C*-crossed products with an Abelian group.
A framework to study commutation problems
A free analogue of the transportation cost inequality on the circle
A free stochastic partial differential equation
We get stationary solutions of a free stochastic partial differential equation. As an application, we prove equality of non-microstate and microstate free entropy dimensions under a Lipschitz like condition on conjugate variables, assuming also the von Neumann algebra embeddable. This includes an -tuple of -Gaussian random variables e.g. for .
A functional inequality in restricted domains of Banach modules.
A Gelfand-Neumark Theorem for C*-Alternative Algebras.
A generalization of entropy using traces on von Neumann algebras
A generalized Biane process
A Generalized Riesz-Schauder Decomposition Theorem.
A geometry on the space of probabilities (I). The finite dimensional case.
In this note we provide a natural way of defining exponential coordinates on the class of probabilities on the set Ω = [1,n] or on P = {p = (p1, ..., pn) ∈ Rn| pi > 0; Σi=1n pi = 1}. For that we have to regard P as a projective space and the exponential coordinates will be related to geodesic flows in Cn.
A geometry on the space of probabilities (II). Projective spaces and exponential families.
In this note we continue a theme taken up in part I, see [Gzyl and Recht: The geometry on the class of probabilities (I). The finite dimensional case. Rev. Mat. Iberoamericana 22 (2006), 545-558], namely to provide a geometric interpretation of exponential families as end points of geodesics of a non-metric connection in a function space. For that we characterize the space of probability densities as a projective space in the class of strictly positive functions, and these will be regarded as a...
A Holomorphic Characterization of Jordan C*-Algebras.
A II... factor anti-isomorphic to itself but without involutory antiautomorphisms.
A Korovkin Theorem for Schwarz Maps on C*-Algebras.
A linear Radon-Nikodym type theorem for -algebras with applications to measure theory
A linearization of Connes' embedding problem.
A local version of the Dauns-Hofmann theorem.