Ergodic sequences of averages of group representations
M Lin, R Wittmann�- Ergodic Theory and Dynamical Systems, 1994 - cambridge.org
M Lin, R Wittmann
Ergodic Theory and Dynamical Systems, 1994•cambridge.orgLet G be a locally compact σ-compact group with right Haar measure λ. A sequence {μn} of
probabilities on G is called ergodic if for every f∈ L1 (G, λ) and t∈ G we have‖ μn*(f− δt*
f)‖ 1→ 0. If T (t) is a bounded continuous representation of G by linear operators in a
Banach space X, we define the μ,-average of T (t) by.
probabilities on G is called ergodic if for every f∈ L1 (G, λ) and t∈ G we have‖ μn*(f− δt*
f)‖ 1→ 0. If T (t) is a bounded continuous representation of G by linear operators in a
Banach space X, we define the μ,-average of T (t) by.
Let G be a locally compact σ -compact group with right Haar measure λ. A sequence {μn} of probabilities on G is called ergodic if for every f ∈ L1(G, λ) and t ∈ G we have ‖μn* (f − δt* f) ‖1 → 0. If T (t) is a bounded continuous representation of G by linear operators in a Banach space X, we define the μ,-average of T(t) by .
Cambridge University Press