Schauder's fixed point and amenability of a group
Słowa kluczowe
Amenable groups, fixed points, invariant measuresAbstrakt
A criterion for existence of a fixed point for an affine action of a given group on a compact convex space is presented. From this we derive that a discrete countable group is amenable if and only if there exists an invariant probability measure for any action of the group on a Hilbert cube. Amenable properties of the group of all isometries of the Urysohn universal homogeneous metric space are also discussed.Pobrania
Opublikowane
2007-06-01
Jak cytować
1.
BOGATYI, Semeon A. & FEDORCHUK, Vitaly V. Schauder’s fixed point and amenability of a group. Topological Methods in Nonlinear Analysis [online]. 1 czerwiec 2007, T. 29, nr 2, s. 383–401. [udostępniono 3.7.2024].
Numer
Dział
Articles
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0