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An operator characterization of $L^p$-spaces in a class of Orlicz spaces

100%

Burnecki M.

Banach Center Publications

2008

tom 79

nr 1

53-55

We consider an embedding of the group of invertible transformations of [0,1] into the algebra of bounded linear operators on an Orlicz space. We show that if this embedding preserves the group action then the Orlicz space is an $L^p$-space for some 1 ≤ p < ∞.

Noncommutative analogs of symmetric polynomials

100%

Burnecki M.

Colloquium Mathematicum

1993

tom 66

nr 1

95-107

Topologies on the group of invertible transformations

63%

Burnecki M., Rałowski R.

Banach Center Publications

2011

tom 95

nr 1

273-280

We enlarge the amount of embeddings of the group G of invertible transformations of [0,1] into spaces of bounded linear operators on Orlicz spaces. We show the equality of the inherited coarse topologies.

Ograniczanie wyników

2 Banach Center Publications

1 Colloquium Mathematicum

3 Burnecki M.

1 Rałowski R.

1 2011

1 2008

1 1993

Wyniki wyszukiwania

An operator characterization of $L^p$-spaces in a class of Orlicz spaces

Noncommutative analogs of symmetric polynomials

Topologies on the group of invertible transformations