Nonassociative real H*-algebras

  1. Cabrera García, Miguel
  2. J. Martínez
  3. Rodríguez Palacios, Ángel
  1. 1 Universidad de Granada
    info

    Universidad de Granada

    Granada, España

    ROR https://ror.org/04njjy449

Zeitschrift:
Publicacions matematiques

ISSN: 0214-1493

Datum der Publikation: 1988

Ausgabe: 32

Nummer: 2

Seiten: 267-274

Art: Artikel

DOI: 10.5565/PUBLMAT_32288_10 DIALNET GOOGLE SCHOLAR lock_openDDD editor

Andere Publikationen in: Publicacions matematiques

Zusammenfassung

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.

Fuente de los datos: Dialnet