Bounded Approximate Identities in Ternary Banach Algebras-Reference-Cited by-同舟云学术

Bounded Approximate Identities in Ternary Banach Algebras

Published:2012 Issue: Volume:2012 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Eshaghi Gordji Madjid¹²,Jabbari Ali³^ORCID,Kim Gwang Hui⁴

Affiliation:

1. Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran

2. Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, P.O. Box 35195-363, Semnan, Iran

3. Young Researchers Club, Ardabil Branch, Islamic Azad University, P.O. Box 15655-461, Ardabil, Iran

4. Department of Mathematics, Kangnam University, Youngin, Gyeonggi 446-702, Republic of Korea

Abstract

LetAbe a ternary Banach algebra. We prove that ifAhas a left-bounded approximating set, thenAhas a left-bounded approximate identity. Moreover, we show that ifAhas bounded left and right approximate identities, thenAhas a bounded approximate identity. Hence, we prove Altman’s Theorem and Dixon’s Theorem for ternary Banach algebras.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/386785.pdf

Reference13 articles.

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