On a super class of $p$-hyponormal operators
On a super class of $p$-hyponormal operators
Given an operator A on a Hilbert space \mathcal{H} , A is said to be p-hyponormal (0<p\leq 1) if (AA^{\star})^{p}\leq(A^{\star}A)^{p} .The class H(p) of p-hyponormal operators has been studied in a number of papers in the recent past.Let K(p) denote the class of operators A for which ((AA^{\star})^{p}x, x)\leq||x||^{2(1-p)}(A^{\star}Ax, x)^{p} …