An Asymmetric Fuglede-Putnam's Theorem and Orthogonality

  • Ahmed, Bachir (Department of Mathematics, Faculty of Science, King Khaled University) ;
  • Segres, Abdelkder (Department of Mathematics, Mascara University)
  • Received : 2005.05.11
  • Published : 2006.12.23

Abstract

An asymmetric Fuglede-Putnam theorem for $p$-hyponormal operators and class ($\mathcal{Y}$) 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.

Keywords

References

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