Berger-Shaw inequality for n-Power quasinormal and w-hyponormal operators,

Citation:
Kathurima I. "Berger-Shaw inequality for n-Power quasinormal and w-hyponormal operators, ." Far East Jnr of Appld. Maths.. 2014.

Abstract:

Every reducible operator can be decomposed into normal and completely non-normal operators.
Unfortunately, there are several non normal operators which are irreducible. However, every operator
whose self-commutator is bounded, is reducible. Berger-Shaw inequality implies boundedness
of the trace of the self-commutator for hyponormal operators. In this paper, the Berger-Shaw
inequality is studied for n-Power normal, n-power quasinormal and w-hyponormal operators.

Every reducible operator can be decomposed into normal and completely non-normal operators.
Unfortunately, there are several non normal operators which are irreducible. However, every operator
whose self-commutator is bounded, is reducible. Berger-Shaw inequality implies boundedness
of the trace of the self-commutator for hyponormal operators. In this paper, the Berger-Shaw
inequality is studied for n-Power normal, n-power quasinormal and w-hyponormal operators.

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