Putnam’s inequality for n-Power normal, n-Power quasinormal and w-hyponormal operators,

Citation:
Kathurima I. " Putnam’s inequality for n-Power normal, n-Power quasinormal and w-hyponormal operators, ." Pioneer jnl of mathematics and mathematical sciences. 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. Putnam’s inequality implies boundedness
of the self-commutator for hyponormal operators. In this paper, the Putnam’s 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. Putnam’s inequality implies boundedness
of the self-commutator for hyponormal operators. In this paper, the Putnam’s inequality is
studied for n-Power normal, n-power quasinormal and w-hyponormal operators.

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