Existence and uniqueness for C_0-semigroups on the dual of a Banach space

摘要

The main results of this paper are a satisfactory variant of Hille-Yosida theorem and a uniqueness theorem for a C_0-semigroup on the dual of a Banach space. As application a simplified Hille-Yosida theorem for positive C_0-semigroups on L~∞ is given. Moreover, the uniqueness of Schrodinger's operator in L~∞ is presented.