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Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Non-normal derivation and orthogonality

Author(s): Salah Mecheri
Journal: Proc. Amer. Math. Soc. 133 (2005), 759-762.
MSC (2000): Primary 47B47, 47A30, 47B20; Secondary 47B10
Posted: October 7, 2004
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Abstract | References | Similar articles | Additional information

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 $A,B\in B(H).$


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S. Mecheri, On the orthogonality in von Neumann-Shatten classes, Int. Jour. Appl. Math, 8(2002), 441-447. MR 2003b:47063

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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

DOI: 10.1090/S0002-9939-04-07609-9
PII: S 0002-9939(04)07609-9
Keywords: Derivation, generalized derivation, orthogonality
Received by editor(s): February 11, 2003
Received by editor(s) in revised form: October 16, 2003
Posted: October 7, 2004
Additional Notes: This work was supported by the Research Center Project No. {\bf Math/1422/10}
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2004, American Mathematical Society


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