On additive preservers of certain classes of algebraic operators

• Khalid Souilah ^[1]
  1. [1] Université Mohammed Premier, Oujda. Marocco
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 30, Nº 2, 2015, págs. 207-220
• Idioma: inglés
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• Resumen

  • In this article we provide a complete description of all additive surjective unital maps in the algebra of all bounded linear operators acting on an in nite-dimensional Hilbert space, preserving in both directions the set of non-invertible algebraic operators or the set of invertible algebraic operators.