2012•Abstract and Applied AnalysisOpen access
Bounded Approximate Identities in Ternary Banach Algebras
M. Eshaghi Gordji, Ali Jabbari, Gwang Hui Kim
Open full text 2 citations
Abstract
Let A be a ternary Banach algebra. We prove that if A has a left‐bounded approximating set, then A has a left‐bounded approximate identity. Moreover, we show that if A has bounded left and right approximate identities, then A has a bounded approximate identity. Hence, we prove Altman’s Theorem and Dixon’s Theorem for ternary Banach algebras.
Open-access reader