The Rao–Reiter Criterion for the Amenability of Homogeneous Spaces Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2018, Volume: 59, Number: 6, Pages: 1094-1099 Pages count : 6 DOI: 10.1134/S0037446618060125 | ||||
| Tags | locally compact group, homogeneous space, amenability, N-function, Orlicz space, Δ2-condition | ||||
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Abstract:
We prove that a homogeneous space G/H, with G a locally compact group and H a closed subgroup of G, is amenable in the sense of Eymard–Greenleaf if and only if the quasiregular action πΦ of G on the unit sphere of the Orlicz space LΦ(G/H) for some N-function Φ ∈ Δ2 satisfies the Rao–Reiter condition (PΦ).
Cite:
Kopylov Y.A.
The Rao–Reiter Criterion for the Amenability of Homogeneous Spaces
Siberian Mathematical Journal. 2018. V.59. N6. P.1094-1099. DOI: 10.1134/S0037446618060125 WOS Scopus OpenAlex
The Rao–Reiter Criterion for the Amenability of Homogeneous Spaces
Siberian Mathematical Journal. 2018. V.59. N6. P.1094-1099. DOI: 10.1134/S0037446618060125 WOS Scopus OpenAlex
Original:
Копылов Я.А.
Критерий Рао–Райтера аменабельности однородных пространств
Сибирский математический журнал. 2018. Т.59. №6. С.1375-1382. DOI: 10.17377/smzh.2018.59.612 РИНЦ
Критерий Рао–Райтера аменабельности однородных пространств
Сибирский математический журнал. 2018. Т.59. №6. С.1375-1382. DOI: 10.17377/smzh.2018.59.612 РИНЦ
Dates:
| Submitted: | Nov 14, 2017 |
| Published online: | Dec 26, 2018 |
Identifiers:
| Web of science: | WOS:000454441000012 |
| Scopus: | 2-s2.0-85059771141 |
| OpenAlex: | W2905649001 |
Citing:
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