On one-sided division infinite-dimensional normed real algebras

Autores: José Antonio Cuenca Mira
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 2, 1, 1992 (Ejemplar dedicado a: la memória de Pere Menal i Brufal), págs. 485-488
Idioma: inglés
DOI: 10.5565/publmat_362a92_14
Títulos paralelos:
- Sobre álgebras reales normadas infinito-dimensionales con división unilateral
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Resumen
- 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.