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AUTOMATIC CONTINUITY OF 3-HOMOMORPHISMS ON TERNARY BANACH ALGEBRAS

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

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

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ALI JABBARI

Young Researchers Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran

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ALI EBADIAN

Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran

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, and

SAEID OSTADBASHI

Department of Mathematics, Urmia University, Urmia, Iran

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https://doi.org/10.1142/S0219887813200132Cited by:1 (Source: Crossref)

Abstract

In this paper we consider automatic continuity of 3-homomorphism and anti-3-homomorphism between non-unital ternary Banach algebras. We show that every surjective 3-homomorphism (anti-3-homomorphism) from ternary Banach algebra A into semisimple ternary Banach algebra B is continuous.

Keywords:

AMSC: 46H05, 46H25

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