ON K'D-OPERATOR

Abstract

In this paper,  we introduce  the class of k-*D-Operator. A bounded  linear operator T is said to be a k-*D-Operator if T *2k (T D)2 = (T *k T D)2  for a positive integer k. We investigate the basic properties  of this class and also show that this class is closed under strong  operator  topology.  Methodology  mainly  involved the  use of adjoint properties of bounded  operator  T . Results  show that this class converges to the strong  operator topology.