Results On Strongly Continuous Semigroup

Radhi.Ali Zaboon, Arwa Nazar Mustafa, Rafah Alaa Abdulrazzaq

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