Abstract
AbstractThe main purpose of this paper is to prove, that the topology of any (non-complete) algebra norm on a JB* -algebra is stronger than the topology of the usual norm. The proof of this theorem consists of an adaptation of the recent Rodriguez proof [8] that every homomorphism from a complex normed (associative) Q-algebra onto a B*-algebra is continuous.
Publisher
Canadian Mathematical Society
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Non‐associative
C
*‐algebras;Algebra and Applications 1;2021-03-19
2. A Kaplansky theorem for JB*-triples;Proceedings of the American Mathematical Society;2012-09-01
3. Non associative C*-algebras revisited;North-Holland Mathematics Studies;2001
4. A Kaplansky Theorem for JB$^*$-Algebras;Rocky Mountain Journal of Mathematics;1998-09-01
5. Full Subalgebras of Jordan-Banach Algebras and Algebra Norms on JB ∗ -Algebras;Proceedings of the American Mathematical Society;1994-08