Bounded Approximate Identities in Ternary Banach Algebras | Zendy

M‎. ‎Eshaghi Gordji | Zendy; Ali Jabbari | Zendy; Gwang Hui Kim | Zendy

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Bounded Approximate Identities in Ternary Banach Algebras

Author(s) -

M‎. ‎Eshaghi Gordji,

Ali Jabbari,

Gwang Hui Kim

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/386785

Subject(s) - bounded function , mathematics , bounded inverse theorem , banach space , banach algebra , ternary operation , identity (music) , pure mathematics , set (abstract data type) , discrete mathematics , bounded operator , mathematical analysis , physics , computer science , acoustics , programming language

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

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