AL-Transformation on M Class Ak* Operator

Abstract

Operators in Complex Hilbert spaces has been the interest of emerging researchers in the recent years. Takayuki Furuta et al studied AL- transformation on p-hyponormal operators in 1996. Later, yamazaki et al. studied AL- transformation and powers of operators for class A(k) operator in the year 2001. This research work was further carried over by Pannayappan et al. and D. Senthil Kumar et al. In this discipline, we studied AL- transformation and *- AL- transformation for the new class of operator named M class A_k^* operator on a non-zero Complex Hilbert space.