September 2019 Algèbres de Jordan sans J-diviseurs topologiques généralisés de zéro
Abdelaziz Tajmouati, Ahmed Zinedine
Funct. Approx. Comment. Math. 61(1): 47-55 (September 2019). DOI: 10.7169/facm/1744

Abstract

Our aim in this paper is to show that the set $G_j(A)\cup \{0\}$, where $G_j(A)$ is the set of all J-invertible elements of a topological Jordan algebra $A$ without J-g.t.d.z, is isomorphic to $\mathbb{C}$ in the complex case. In the real case it is a $p$-normed quadratic J-division subalgebra of $A$. This result extends a well-known result of W. Żelazko ([11]) in the associative case to Jordan algebras.

Citation

Download Citation

Abdelaziz Tajmouati. Ahmed Zinedine. "Algèbres de Jordan sans J-diviseurs topologiques généralisés de zéro." Funct. Approx. Comment. Math. 61 (1) 47 - 55, September 2019. https://doi.org/10.7169/facm/1744

Information

Published: September 2019
First available in Project Euclid: 26 October 2018

zbMATH: 07126909
MathSciNet: MR4012361
Digital Object Identifier: 10.7169/facm/1744

Subjects:
Primary: 46H70
Secondary: 17C60

Keywords: Gelfand-Mazur theorem , generalized topological J-divisors of zero , Jordan algebras

Rights: Copyright © 2019 Adam Mickiewicz University

JOURNAL ARTICLE
9 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.61 • No. 1 • September 2019
Back to Top