Approximately local derivations

• Autores: Ebrahim Samei
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 71, Nº 3, 2005, págs. 759-778
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Certain linear operators from a Banach algebra into a Banach -bimodule , which are called approximately local derivations, are studied. It is shown that when is a -algebra, a Banach algebra generated by idempotents, a semisimple annihilator Banach algebra, or the group algebra of a SIN or a totally disconnected group, bounded approximately local derivations from into are derivations. This, in particular, extends a result of B. E. Johnson that 'local derivations on -algebras are derivations' and provides an alternative proof of it.