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.
Almost automorphic groups and semigroups
CASARINO, VALENTINA
2000
Abstract
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.File in questo prodotto:
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