Nonassociative real H*-algebras.

Cabrera, Miguel, Martínez Aroza, José, and Rodríguez Palacios, Angel. "Nonassociative real H*-algebras.." Publicacions Matemàtiques 32.2 (1988): 267-274. <http://eudml.org/doc/41059>.

@article{Cabrera1988,
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 τ such that A = \{b ∈ B : τ(b) = b*\}. Using this, we obtain our main result, namely: (algebraically) isomorphic topologically simple real H*-algebras are actually *-isometrically isomorphic.},
author = {Cabrera, Miguel, Martínez Aroza, José, Rodríguez Palacios, Angel},
journal = {Publicacions Matemàtiques},
keywords = {Algebras no asociativas; Isomorfismo; topologically simple real non-associative -algebra},
language = {eng},
number = {2},
pages = {267-274},
title = {Nonassociative real H*-algebras.},
url = {http://eudml.org/doc/41059},
volume = {32},
year = {1988},
}

TY - JOUR
AU - Cabrera, Miguel
AU - Martínez Aroza, José
AU - Rodríguez Palacios, Angel
TI - Nonassociative real H*-algebras.
JO - Publicacions Matemàtiques
PY - 1988
VL - 32
IS - 2
SP - 267
EP - 274
AB - 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 τ such that A = {b ∈ B : τ(b) = b*}. Using this, we obtain our main result, namely: (algebraically) isomorphic topologically simple real H*-algebras are actually *-isometrically isomorphic.
LA - eng
KW - Algebras no asociativas; Isomorfismo; topologically simple real non-associative -algebra
UR - http://eudml.org/doc/41059
ER -