Non-normal Derivation and Orthogonality
نویسندگان
چکیده
The main purpose of this note is to characterize the operators T ∈ B(H) which are orthogonal (in the sense of James) to the range of a generalized derivation for non-normal operators A,B ∈ B(H).
منابع مشابه
Normal Derivations in Norm Ideals
We establish the orthogonality of the range and the kernel of a normal derivation with respect to the unitarily invariant norms associated with norm ideals of operators. Related orthogonality results for certain nonnormal derivations are also given.
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