IJPAM: Volume 100, No. 3 (2015)

STABILITY OF LIE HOMOMORPHISMS ON
LIE BANACH ALGEBRAS

B. Yousefi$^1$, Gh. Moghimi$^2$
$^{1,2}$Department of Mathematics
Payame Noor University
P.O. Box 19395-3697, Tehran, IRAN


Abstract. In this paper we prove the Hyers-Ulam stability of $n$-ary Lie homomorphisms on $n$-ary Lie Banach algebras associated to a generalized functional equation.

Received: November 18, 2014

AMS Subject Classification: 39B52, 39B82, 46B99

Key Words and Phrases: n-ary homomorphism, Hyers-Ulam Stability, $n$-ary Banach-algebra, Functional equation, Lie product

Download paper from here.



DOI: 10.12732/ijpam.v100i3.5 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 100
Issue: 3
Pages: 385 - 389


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).