Resumen de On automatic surjectivity of some additive transformations

Mustapha Ech-Cherif El Kettani, El Houcine El Bouchibti

• Let X be an infinite dimensional Banach space and let Φ : B(X) → B(X) be a spectrum preserving additive transformation. We show that if the image of quasi-nilpotent operators contains all quasi-nilpotent operators, then Φ is an automophism or an antiautomorphism of B(X).