On the Radius in Cayley-Dickson Algebras
Rings and Algebras
2015-05-08 v1
Abstract
In the first two sections of this paper we provide a brief account of the Cayley-Dickson algebras and prove that the radius on these algebras is given by the Euclidean norm. With this observation we resort to three related topics: a variant of the Gelfand formula, stability of subnorms, and the functional power equation.
Keywords
Cite
@article{arxiv.1505.01670,
title = {On the Radius in Cayley-Dickson Algebras},
author = {Moshe Goldberg and Thomas J. Laffey},
journal= {arXiv preprint arXiv:1505.01670},
year = {2015}
}
Comments
14 pages