On automatic surjectivity of some additive transformations
Author
Ech-chérif El Kettani, Mustapha
El Bouchibti, El Houcine
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/156310.4067/S0716-09172004000200004
Abstract
Let X be an infinite dimensional Banach space and let ? : 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 ? is an automophism or an antiautomorphism of B(X).