Domains of uniqueness for C0-semigroups on the dual of a Banach space
نویسنده
چکیده
1 Let (X , .) be a Banach space. In general, for a C 0-semigroup {T (t)} t≥0 on (X , .), its adjoint semigroup {T * (t)} t≥0 is no longer strongly continuous on the dual space (X * ,. which the usual semigroups in literature becomes C 0-semigroups. The main purpose of this paper is to prove that only a core can be the domain of uniqueness for a C 0-semigroup on (X * , C(X * , X)). As application, we show that the generalized Schrödinger operator
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