Shilov Points and Shilov Boundaries.
Hopfs ergodic theorem for nonlinear operators.
Schwach irreduzible Markoff-Operatoren.
Positive Harmonic Functions on Nontangentially Accessible Domains.
A uniform boundary Harnack inequality on non-tangentially accessible domains.
Ein starkes "Null-Zwei"-Gesetz in Lp.
Averages of unitary representations and weak mixing of random walks
Let S be a locally compact (σ-compact) group or semigroup, and let T(t) be a continuous representation of S by contractions in a Banach space X. For a regular probability μ on S, we study the convergence of the powers of the μ-average Ux = ʃ T(t)xdμ(t). Our main results for random walks on a group G are: (i) The following are equivalent for an adapted regular probability on G: μ is strictly aperiodic; converges weakly for every continuous unitary representation of G; U is weakly mixing for any...
Convolution powers of spread-out probabilities
A general continuity principle
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