Nonassociative real H*-algebras

• Miguel Cabrera García ; J. Martínez ; Ángel Rodríguez Palacios
  1. [1] Universidad de Granada

     Universidad de Granada

     Granada, España

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 32, Nº 2, 1988, págs. 267-274
• Idioma: inglés
• DOI: 10.5565/publmat_32288_10
• Títulos paralelos:
  • Algebras H* reales no asociativas
• Enlaces
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• Resumen

  • We prove that, if A denotes a topologically simple real (non-associative) H*-algebra, then either A is a topologically simple complex H*-algebra regarded as real H*-algebra or there is a topologically simple complex H*-algebra B with *-involution t such that A = {b Î B : t(b) = b*}. Using this, we obtain our main result, namely: (algebraically) isomorphic topologically simple real H*-algebras are actually *-isometrically isomorphic.