Results On Strongly Continuous Semigroup

Abstract

Some results of strongly continuous semigroup (-semigroup) of functional analysis ofnbsp bounded linear operator defining on a separable Banachnbsp spaces like hypercyclic, topologically transitive, chaotic, mixing, weekly mixing and topologically ergrodic have been discussed. The generalization ofnbsp hypercyclic, topologically transitive, chaotic, mixing, weakly mixingnbsp and topologically ergrodic for the direct sum of two and /or hence to n -semigroup strongly continuous dynamicnbsp system of semigroups in infinite dimensional separable Banach space have been developed with proofs and discusses