The p -Quasihyponormality of the Generalized Aluthge Transform

Let T= U |T|^p be the polar decomposition of p-Quasihyponormal operator for 0 < p <1, t| = |T|^sU|T|^t, 0<sr,t| = |T|^tU|T|^r-t, 0t is q-Quasihyponormal where q=max{p+r+t,2}.