Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras

Madjid Eshaghi Gordji (), N. Ghobadipour (), A. Ebadian (), M. Bavand Savadkouhi () and Choonkil Park ()
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Madjid Eshaghi Gordji: Semnan University
N. Ghobadipour: Urmia University
A. Ebadian: Urmia University
M. Bavand Savadkouhi: Semnan University
Choonkil Park: Hanyang University

Chapter Chapter 17 in Nonlinear Analysis, 2012, pp 305-315 from Springer

Abstract: Abstract Let A and B be two Banach ternary algebras over ℝ or ℂ. A linear mapping H:(A,[ ] A )→(B,[ ] B ) is called a ternary Jordan homomorphism if H([xxx] A )=[H(x)H(x)H(x)] B for all x∈A. In this paper, we investigate ternary Jordan homomorphisms on Banach ternary algebras, associated with the following functional equation $$f \biggl(\frac{x_1}{2}+x_2+x_3 \biggr)= \frac{1}{2}f(x_1)+f(x_2)+f(x_3). $$

Keywords: Generalized Hyers–Ulam stability; Banach ternary algebra; Ternary Jordan homomorphism; Functional equation; 39B52; 17A40; 46B03; 47Jxx (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-1-4614-3498-6_17

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