Non-normal derivation and orthogonality
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Abstract:
The main purpose of this note is to characterize the operators $T\in B(H)$ which are orthogonal (in the sense of James) to the range of a generalized derivation for non-normal operators $A,B\in B(H).$References
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Additional Information
- Salah Mecheri
- Affiliation: Department of Mathematics, King Saud University College of Science, P.O. Box 2455, Riyadh 11451, Saudi Arabia
- Email: mecherisalah@hotmail.com
- Received by editor(s): February 11, 2003
- Received by editor(s) in revised form: October 16, 2003
- Published electronically: October 7, 2004
- Additional Notes: This work was supported by the Research Center Project No. Math/1422/10
- Communicated by: Joseph A. Ball
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 759-762
- MSC (2000): Primary 47B47, 47A30, 47B20; Secondary 47B10
- DOI: https://doi.org/10.1090/S0002-9939-04-07609-9
- MathSciNet review: 2113925