On one-sided division infinite-dimensional normed real algebras.

José Antonio Cuenca Mira

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 2A, page 485-488
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Cuenca Mira, José Antonio. "On one-sided division infinite-dimensional normed real algebras.." Publicacions Matemàtiques 36.2A (1992): 485-488. <http://eudml.org/doc/41731>.

@article{CuencaMira1992,
abstract = {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.},
author = {Cuenca Mira, José Antonio},
journal = {Publicacions Matemàtiques},
keywords = {composition algebras; absolute valued algebra; symmetric bilinear form; Cayley triad; Cayley homomorphism; left division algebra},
language = {eng},
number = {2A},
pages = {485-488},
title = {On one-sided division infinite-dimensional normed real algebras.},
url = {http://eudml.org/doc/41731},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Cuenca Mira, José Antonio
TI - On one-sided division infinite-dimensional normed real algebras.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2A
SP - 485
EP - 488
AB - 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.
LA - eng
KW - composition algebras; absolute valued algebra; symmetric bilinear form; Cayley triad; Cayley homomorphism; left division algebra
UR - http://eudml.org/doc/41731
ER -

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