ADDITIVE FUNCTIONAL INEQUALITIES AND DERIVATIONS ON HILBERT C*-MODULES

MORADLOU, FRIDOUN

Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 341-348

Résumé

In this paper we investigate the following functional inequality$\begin{eqnarray*} \| f(x-y-z) - f(x-y+z) + f(y) +f(z)\| \leq \|f(x+y-z) - f(x)\|\end{eqnarray*}$in Banach spaces, and employing the above inequality we prove the generalized Hyers–Ulam stability of derivations in Hilbert C*-modules.

Détail

DOI : 10.1017/S0017089512000596

Mots-clés : Primary 39B72, 46L08, 46B03, 13N15, 47Jxx

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