Geodesic
Generalized Derivations and Norm Equality in Normed Ideals
Serdica Mathematical Journal, Tome 37 (2011) no. 2, pp. 107-112.

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We compare the norm of a generalized derivation on a Hilbert space with the norm of its restrictions to Schatten norm ideals.
Keywords: Generalized Derivation, Norm, Norm Ideal, S-Universasl Operator, Numerical Range, Spectrum, Quasi-Nilpotent Operator, Hyponormal Operator 
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Barraa, Mohamed. Generalized Derivations and Norm Equality in Normed Ideals. Serdica Mathematical Journal, Tome 37 (2011) no. 2, pp. 107-112. http://geodesic.mathdoc.fr/item/SMJ2_2011_37_2_a1/