Vector-valued probability measures on semigroups (Q1083571)
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scientific article; zbMATH DE number 3975282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vector-valued probability measures on semigroups |
scientific article; zbMATH DE number 3975282 |
Statements
Vector-valued probability measures on semigroups (English)
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1985
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The problem of defining vector-valued probability measures on a compact semitopological semigroup S is considered in this paper. The set PW(S,A) of all such A-valued measures, analogous to the scalar-valued measures, is a compact semitopological semigroup with respect to the convolution operation and the weak operator topology. Supports of idempotents and the limits of averaged convolution sequences in PW(S,A) are determined.
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vector-valued probability measures on a compact semitopological semigroup S
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convolution operation
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