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Displaying 81 – 100 of 194

On some generalization of the t-transformation

Anna Dorota Krystek (2010)

Banach Center Publications

Using the Nevanlinna representation of the reciprocal of the Cauchy transform of probability measures, we introduce a two-parameter transformation $U^{}$ of probability measures on the real line ℝ, which is another possible generalization of the t-transformation. Using that deformation we define a new convolution by deformation of the free convolution. The central limit measure with respect to the -deformed free convolutions is still a Kesten measure, but the Poisson limit depends on the two parameters...

On Some Problems of Kaplansky in the Theory of Rings of Operators.

J.D. Maitland Wright (1980)

Mathematische Zeitschrift

On some versions of Jensen's inequality on operator algebras

Ryszard Jajte (1997)

Mathematica Slovaca

On some von Neumann topological algebras.

Choukri, Rachid, El Kinani, Abdellah, Oudadess, Mohamed (2009)

Banach Journal of Mathematical Analysis [electronic only]

On stability properties of positive contractions of L¹-spaces associated with finite von Neumann algebras

Farrukh Mukhamedov, Hasan Akin, Seyit Temir (2006)

Colloquium Mathematicae

We extend the notion of Dobrushin coefficient of ergodicity to positive contractions defined on the L¹-space associated with a finite von Neumann algebra, and in terms of this coefficient we prove stability results for L¹-contractions.

On subrelations of ergodic measured type III equivalence relations

Alexandre Danilenko (2000)

Colloquium Mathematicae

We discuss the classification up to orbit equivalence of inclusions 𝑆 ⊂ ℛ of measured ergodic discrete hyperfinite equivalence relations. In the case of type III relations, the orbit equivalence classes of such inclusions of finite index are completely classified in terms of triplets consisting of a transitive permutation group G on a finite set (whose cardinality is the index of 𝑆 ⊂ ℛ), an ergodic nonsingular ℝ-flow V and a homomorphism of G to the centralizer of V.

On tensor porducts of von Neumann algebras.

R. Kadison, L. Ge (1996)

Inventiones mathematicae

On the asymptotic homotopy type of inductive limit C*-algebras.

Marius Dadarlat (1993)

Mathematische Annalen

On the bundle convergence of double orthogonal series in noncommutative $L_{2}$ -spaces

Ferenc Móricz, Barthélemy Le Gac (2000)

Studia Mathematica

The notion of bundle convergence in von Neumann algebras and their $L_{2}$ -spaces for single (ordinary) sequences was introduced by Hensz, Jajte, and Paszkiewicz in 1996. Bundle convergence is stronger than almost sure convergence in von Neumann algebras. Our main result is the extension of the two-parameter Rademacher-Men’shov theorem from the classical commutative case to the noncommutative case. To our best knowledge, this is the first attempt to adopt the notion of bundle convergence to multiple series....