In this note we introduce the concept of Cayley homomorphism which is closely related with those of composition algebra and normalized orthogonal multiplication. The key result shows the existence of certain types of Cayley homomorphisms for infinite dimension. As an application we prove the existence of left division infinite-dimensional complete normed real algebras with left unity.
@article{urn:eudml:doc:41731,
title = {On one-sided division infinite-dimensional normed real algebras.},
journal = {Publicacions Matem\`atiques},
volume = {36},
year = {1992},
pages = {485-488},
mrnumber = {MR1209820},
zbl = {0783.17001},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41731}
}
Cuenca Mira, José Antonio. On one-sided division infinite-dimensional normed real algebras.. Publicacions Matemàtiques, Tome 36 (1992) pp. 485-488. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41731/