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. Then the operator |_s,t|=|T|^sU|T|^t, 0<s<1, 0<t<1 is - Quasihyponormal and the operator |_r,t|=|T|^tU|T|^r-t, 0<r, t<1, r&ge;t is q - Quasihyponormal where q =max ŻP+r+t, 2Ž.