The topological support of the z-measures on the Thoma simplex. (English. Russian original) Zbl 1422.43001
Funct. Anal. Appl. 52, No. 4, 308-310 (2018); translation from Funkts. Anal. Prilozh. 52, No. 4, 86-88 (2018).
This paper is devoted to show that the topological support of any nondegenerate z-measure (three continuous parameters probability measures on the Thoma simplex \(\Omega\), which is an infinite dimensional dual space on an infinite symmetric group) is the whole space \(\Omega\).
Reviewer: Hossam A. Ghany (Cairo)
MSC:
| 43A05 | Measures on groups and semigroups, etc. |
| 20C32 | Representations of infinite symmetric groups |
References:
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