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Inner derivations and norm equality
Authors:Mohamed Barraa   Mohamed Boumazgour
Affiliation:Département de Mathématiques, Faculté des sciences Semlalia B.P: 2390 Marrakech, Maroc ; Département de Mathématiques, Faculté des sciences Semlalia B.P: 2390 Marrakech, Maroc
Abstract:

We characterize when the norm of the sum of two bounded operators on a Hilbert space is equal to the sum of their norms.

Keywords:Generalized derivation   norm   norm ideal   $S$-universal operator   numerical range   spectrum   quasi-nilpotent operator   hyponormal operator.
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