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Adv. Inequal. Appl. 2014 (2014), Article ID 20

An extension to Fuglede-Putnam’s theorem and orthogonality

A. Bachir

Abstract

An asymmetric Fuglede-Putnam’s theorem for w−hyponormal operators and (p,k)−quasihyponormal operator 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.

Published
2 April 2014
Volume
2014 (2014)
License
CC BY 3.0

Copyright © 2014 A. Bachir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

A. Bachir, An extension to Fuglede-Putnam’s theorem and orthogonality, Adv. Inequal. Appl. 2014 (2014), 20.

BibTeX
@article{Bachir2014,
  author  = {Bachir, A.},
  title   = {An extension to Fuglede-Putnam’s theorem and orthogonality},
  journal = {Adv. Inequal. Appl.},
  volume  = {2014},
  year    = {2014},
  pages   = {20},
  doi     = {}
}