Journal of Pure and Applied Mathematics: Advances and Applications
OPERATORSAuthor's: F. LOMBARKIA and A. BACHIR
Pages: [103] - [113]
Received Date: February 5, 2013; Revised March 12, 2013
Submitted by:
The familiar Fuglede-Putnam theorem asserts that if A and
B are normal operators and 
for some bounded operator X, then
In this paper, the hypothesis on A
and B are relaxed by using a Hilbert Schmidt operator
if A is class 
and 
is invertible class such that for some Hilbert Schmidt operator X,
then As a consequence of this result, we obtain
that the range of the generalized derivation induced by this class of
operators is orthogonal to its kernel.
Hilbert Schmidt class, Fuglede-Putnam theorem, hyponormal operator,
w-hyponormal operator, class 
operators, orthogonality.
