Non-normal derivation and orthogonality

Mecheri, Salah

doi:10.1090/S0002-9939-04-07609-9

Non-normal derivation and orthogonality
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Proc. Amer. Math. Soc. 133 (2005), 759-762 Request permission

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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