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Paper's Title:
Generalized Fuglede-Putnam Theorem and Orthogonality
Author(s):
A. Bachir and A. Sagres
Department of
Mathematics, Faculty of Science, King Khaled
University, Abha, P.O. Box 9004 Kingdom Saudi Arabia
bachir_ahmed@hotmail.com
sagres@hotmail.com
Abstract:
An asymmetric Fuglede-Putnam’s theorem for dominant operators
and
p-hyponormal
operators is proved, as a consequence of this result, we obtain that the range
of the generalized derivation induced by the above classes of operators is
orthogonal to its kernel.
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