Bounded Approximate Identities in Ternary Banach Algebras

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 D...

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Bibliographic Details
Main Authors: Madjid Eshaghi Gordji, Ali Jabbari, Gwang Hui Kim
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/386785
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