On automatic surjectivity of some additive transformations

• Ech-chérif El Kettani, Mustapha ^[1] ; El Bouchibti, El Houcine ^[1]
  1. [1] Euro-Mediterranean University of Fes

     Euro-Mediterranean University of Fes

     Fes-Medina, Marruecos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 23, Nº. 2, 2004, págs. 111-121
• Idioma: inglés
• DOI: 10.4067/S0716-09172004000200004
• Enlaces
  • Texto completo
• Resumen

  • 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).

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