-derivations of operator algebras and an application

Let  be a bijective bounded linear operator on a banach algebraa: in this talk, we closely examine the concept of -one parameter groupsof bounded linear operators as a generalization of one parameter groups andanalyze their basic properties. we also, describe a -c-dynamical system asa uniformly continuous -one parameter group of -linear automorphisms ona c-algebra and associate with each so-called -c-dynamical system a -derivation, named as its innitesimal generator. finally, as an application, wecharacterize each -c-dynamical system on the concrete c-algebra a :=b(h); where h is a hilbert space.