Dynamical System Induced By Tensor Sum and Tensor Product Operator in Measurable Function Spaces

Abstract

Let   be a Hausdroff topological space and let  be the Banach algebra of all bounded linear operators on a Banach space . Let  be a system of weights on. In this paper we make a study of dynamical system induced by tensor sum and tensor product operator, weighted  tensor sum and tensor product operator on weighted spaces of measurable functions like  (or ) and  ( or ) respectively.