# Nonassociative real H*-algebras.

Miguel Cabrera; José Martínez Aroza; Angel Rodríguez Palacios

Publicacions Matemàtiques (1988)

- Volume: 32, Issue: 2, page 267-274
- ISSN: 0214-1493

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topCabrera, 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 -

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