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|Title:||Vector-valued probability measures on semigroups|
|Authors:||Choy, S.T.L. |
|Source:||Choy, S.T.L.,Husain, T. (1985-11-15). Vector-valued probability measures on semigroups. Journal of Mathematical Analysis and Applications 112 (1) : 14-21. ScholarBank@NUS Repository.|
|Abstract:||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. © 1985.|
|Source Title:||Journal of Mathematical Analysis and Applications|
|Appears in Collections:||Staff Publications|
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