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Nonassociative real H*-algebras
Cabrera García, Miguel (Universidad de Granada. Departamento de Análisis Matemático)
Martínez, J. (Universidad de Granada. Departamento de Análisis Matemático)
Rodríguez Palacios, Ángel (Universidad de Granada. Departamento de Análisis Matemático)

Date: 1988
Abstract: 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 r such that A = {b € B : r(b) = b*} . Using this, we obtain our main result, namely: (algebraically) isomorphic topologically simple real H*-algebras are actually * isometrically isomorphic.
Rights: Tots els drets reservats.
Language: Anglès
Document: Article ; recerca ; Versió publicada
Published in: Publicacions matemàtiques, V. 32 n. 2 (1988) p. 267-274, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/37564
DOI: 10.5565/PUBLMAT_32288_10


8 p, 252.0 KB

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Articles > Published articles > Publicacions matemàtiques
Articles > Research articles

 Record created 2009-04-22, last modified 2022-06-22



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