Invariant Means on Topological Groups and Their Applications |
Contents
Invariant Means on Discrete Groups | 1 |
Invariant Means on Locally Compact | 21 |
Diverse Applications of Invariant | 37 |
Copyright | |
2 other sections not shown
Common terms and phrases
amenable group AP(G Banach space bounded CB(G CB(S closed convex hull compact set convex hull convex set convex sums cosets define discrete groups Dixmier 11 equivalent existence finite fixed point property free group func function on G G is amenable G-invariant group G Haar measure hence Hulanicki invariant measure left Haar measure left invariant means left translates Lemma Let G LIM on B(G linear functional locally compact group means on B(G non-negative P₁ proof prove rad G relatively compact right cosets right invariant mean semi-simple semigroup semigroup of operators set KC G strongly convergent subset subspace Theorem tion topological group topological left invariance topological LIM trivial two-sided invariant UCB G UCB(G unique variant means WAP semigroup weak containment weak containment property weak topology weakly almost periodic weakly compact xe G α α α