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On individual subsequential ergodic theorem in von Neumann algebras

100%

Litvinov S., Mukhamedov F.

Studia Mathematica

2001

tom 145

nr 1

55-62

We use a non-commutative generalization of the Banach Principle to show that the classical individual ergodic theorem for subsequences generated by means of uniform sequences can be extended to the von Neumann algebra setting.

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

81%

Mukhamedov F., Akin H., Temir S.

Colloquium Mathematicum

2006

tom 105

nr 2

259-269

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.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Studia Mathematica

2 Mukhamedov F.

1 Akin H.

1 Litvinov S.

1 Temir S.

1 2006

1 2001

Wyniki wyszukiwania

On individual subsequential ergodic theorem in von Neumann algebras

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