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