Bounded Approximate Identities in Ternary Banach Algebras

Madjid Eshaghi Gordji, Ali Jabbari and Gwang Hui Kim

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2012/386785

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:386785

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().