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… (More)

The main purpose is to generalize a theorem of Arendt about uniqueness of C0semigroups from Banach space setting to the general locally convex vector spaces, more precisely, we show that cores are… (More)

This paper deals with the study of some operator inequalities involving the power q-bounded operators along with the most known properties and results, in the more general framework of locally convex… (More)

Consider the Schrödinger operator A = −∆2 + V acting on space C ∞ 0 (D), where D is an open domain in R. The main purpose of this paper is to present the L∞(D, dx)-uniqueness for Schrödinger… (More)