Alternative Noetherian Banach Algebras

• Autores: Nadia Boudi , M. Benslimane
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 12, Nº 1, 1997, págs. 41-46
• Idioma: inglés
• Títulos paralelos:
  • Algebras de Banach noetherianas alternativas
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• Resumen

  • Sinclair and Tullo [6] proved that noetherian Banach algebras are finite-dimensional. In [3], Grabiner studied noetherian Banach modules. In this paper, we are concerned with alternative noetherian Banach algebras. Combining techniques from [3] with techniques and the result from [6], we prove that every alternative noetherian Banach algebra is finite-dimensional.