Geodesic
ADDITIVE FUNCTIONAL INEQUALITIES AND DERIVATIONS ON HILBERT C*-MODULES
Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 341-348

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DOI

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.
DOI : 10.1017/S0017089512000596
Mots-clés : Primary 39B72, 46L08, 46B03, 13N15, 47Jxx 
MORADLOU, FRIDOUN. ADDITIVE FUNCTIONAL INEQUALITIES AND DERIVATIONS ON HILBERT C*-MODULES. Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 341-348. doi: 10.1017/S0017089512000596
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     title = {ADDITIVE {FUNCTIONAL} {INEQUALITIES} {AND} {DERIVATIONS} {ON} {HILBERT} {C*-MODULES}},
     journal = {Glasgow mathematical journal},
     pages = {341--348},
     year = {2013},
     volume = {55},
     number = {2},
     doi = {10.1017/S0017089512000596},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000596/}
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