Almost automorphic groups and semigroups
Valentina Casarino · PORTO Publications Open Repository TOrino (Politecnico di Torino) · 2000
In this paper we establish that a strongly continuous group of bounded linear operators on a Banach space is weakly almost periodic if and only if it is weakly almost automorphic. The result is extended to Stepanov-type almost automorphism groups and semigroups of bounded linear operators, suitably defined.