The Rao–Reiter Criterion for the Amenability of Homogeneous Spaces

Ya A. Kopylov

doi:10.1134/S0037446618060125

The Rao–Reiter Criterion for the Amenability of Homogeneous Spaces

Ya A. Kopylov

Кафедра математического анализа ММФ

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

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 π_Φ of G on the unit sphere of the Orlicz space L^Φ(G/H) for some N-function Φ ∈ Δ₂ satisfies the Rao–Reiter condition (P_Φ).

Язык оригинала	английский
Страницы (с-по)	1094-1099
Число страниц	6
Журнал	Siberian Mathematical Journal
Том	59
Номер выпуска	6
DOI	https://doi.org/10.1134/S0037446618060125
Состояние	Опубликовано - 1 ноя 2018

Доступ к документу

10.1134/S0037446618060125

Link to publication in Scopus

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Цитировать

Kopylov, Y. A. (2018). The Rao–Reiter Criterion for the Amenability of Homogeneous Spaces. Siberian Mathematical Journal, 59(6), 1094-1099. https://doi.org/10.1134/S0037446618060125

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