Abstract:
This paper introduces the class of k+1-*D-Operator a bounded linear operator T is said to be a k +1*D-Operator if T ∗2k+1 (T D) 2 = (T D T ∗) 2 for a positive integer k. The study investigates the basic properties of this class and also shows that this class is closed under strong operator topology. Methodology mainly involved use of adjoint properties of bounded operator T. Results show that these class converges to the strong operator Topology.
