Laws of large numbers in von Neumann algebras and related results

Andrzej Łuczak

Displaying similar documents to “Laws of large numbers in von Neumann algebras and related results”

The bundle convergence in von Neumann algebras and their $L_{2}$ -spaces

Ewa Hensz, Ryszard Jajte, Adam Paszkiewicz (1996)

Studia Mathematica

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A stronger version of almost uniform convergence in von Neumann algebras is introduced. This "bundle convergence" is additive and the limit is unique. Some extensions of classical limit theorems are obtained.

Dilation theorems for completely positive maps and map-valued measures

Ewa Hensz-Chądzyńska, Ryszard Jajte, Adam Paszkiewicz (1998)

Banach Center Publications

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The Stinespring theorem is reformulated in terms of conditional expectations in a von Neumann algebra. A generalisation for map-valued measures is obtained.

Uniqueness of solutions of the Neumann problem for singular ultrahyperbolic equations

Young, Eutiquio C. (1977)

Portugaliae mathematica

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A theorem on moments

J. Mikusiński (1951)

Studia Mathematica

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

Ferenc Móricz, Barthélemy Le Gac (2000)

Studia Mathematica

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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...