Putnam’s inequality for n-Power normal, n-Power quasinormal and w-hyponormal operators,
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.
URI
https://profiles.uonbi.ac.ke/imagiri/publications/putnam%E2%80%99s-inequality-n-power-normal-n-power-quasinormal-and-w-hyponormal-operatohttp://hdl.handle.net/11295/88028
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.Publisher
University of Nairobi