Wyniki wyszukiwania

1

Noncommutative Poincaré recurrence theorem

100%

Łuczak A.

Colloquium Mathematicum

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2001

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tom 89

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nr 1

1-6

EN

Poincaré's classical recurrence theorem is generalised to the noncommutative setup where a measure space with a measure-preserving transformation is replaced by a von Neumann algebra with a weight and a Jordan morphism leaving the weight invariant. This is done by a suitable reformulation of the theorem in the language of $L^{∞}$-space rather than the original measure space, thus allowing the replacement of the commutative von Neumann algebra $L^{∞}$ by a noncommutative one.

2

Range of a contractive strongly positive projection in a C*-algebra

100%

Łuczak A.

Colloquium Mathematicum

|

2015

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tom 140

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nr 1

87-89

EN

We generalize a result of Choi and Effros on the range of a contractive completely positive projection in a C*-algebra to the case when this projection is only strongly positive using, moreover, an elementary argument instead of a 2×2-matrix technique.

3

Laws of large numbers in von Neumann algebras and related results

38%

Łuczak A.

Studia Mathematica

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1985

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tom 81

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nr 3

231-243

Ograniczanie wyników

2 Colloquium Mathematicum

1 Studia Mathematica

3 Łuczak A.

1 2015

1 2001

1 1985

Noncommutative Poincaré recurrence theorem

Range of a contractive strongly positive projection in a C*-algebra

Laws of large numbers in von Neumann algebras and related results