Taiwanese Journal of Mathematics, ( ISI ), Volume (11), No (5), Year (2007-2) , Pages (1417-1424)

Title : Nearly ternary derivations ( NEARLY TERNARY DERIVATIONS )

Authors: Maryam Amyari , Coonkil Baak , Mohammad Sal Moslehian ,

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Abstract

Abstract. Let A be a normed algebra and X a normed A-bimodule. By a ternary derivation we mean a triple (D1,D2,D3) of linearmappingsD1,D2,D3 : A → X such that D1(ab)= D2(a)b + aD3(b) for all a, b ∈ A. Our aim is to establish the stability of ternary derivations associated with the extended Jensen functional equation qf( q k=1 xk q )= q  k=1 f(xk) for all x1, ··· ,xq ∈ A, where q> 1 is a fixed positive integer.

Keywords

Nearly ternary derivations
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@article{paperid:102985,
author = {Maryam Amyari and Coonkil Baak and Sal Moslehian, Mohammad},
title = {Nearly ternary derivations},
journal = {Taiwanese Journal of Mathematics},
year = {2007},
volume = {11},
number = {5},
month = {February},
issn = {1027-5487},
pages = {1417--1424},
numpages = {7},
keywords = {Nearly ternary derivations},
}

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%0 Journal Article
%T Nearly ternary derivations
%A Maryam Amyari
%A Coonkil Baak
%A Sal Moslehian, Mohammad
%J Taiwanese Journal of Mathematics
%@ 1027-5487
%D 2007

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