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Krengel-Lin decomposition for noncompact groups

100%

Bartoszek W., Rębowski R.

Colloquium Mathematicum

1996

tom 69

nr 1

87-94

On concentrated probabilities

100%

Bartoszek W.

Annales Polonici Mathematici

1995

tom 61

nr 1

25-38

Let G be a locally compact Polish group with an invariant metric. We provide sufficient and necessary conditions for the existence of a compact set A ⊆ G and a sequence $g_n ∈ G$ such that $μ^{∗n}(g_n A) ≡ 1$ for all n. It is noticed that such measures μ form a meager subset of all probabilities on G in the weak measure topology. If for some k the convolution power $μ^{∗k}$ has nontrivial absolutely continuous component then a similar characterization is obtained for any locally compact, σ-compact, unimodular, Hausdorff topological group G.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

2 Bartoszek W.

1 Rębowski R.

1 1996

1 1995

Wyniki wyszukiwania

Krengel-Lin decomposition for noncompact groups

On concentrated probabilities