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ADDITIVE FUNCTIONAL INEQUALITIES AND DERIVATIONS ON HILBERT C*-MODULES
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- Journal:
- Glasgow Mathematical Journal / Volume 55 / Issue 2 / May 2013
- Published online by Cambridge University Press:
- 05 March 2013, pp. 341-348
- Print publication:
- May 2013
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- Article
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In this paper we investigate the following functional inequality
in Banach spaces, and employing the above inequality we prove the generalized Hyers–Ulam stability of derivations in Hilbert C*-modules.
$
\begin{eqnarray*}
\| f(x-y-z) - f(x-y+z) + f(y) +f(z)\| \leq \|f(x+y-z) - f(x)\|
\end{eqnarray*}$
