Approximately higher Hilbert $C^*$-module derivations

Document Type : Research Paper


1 Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

2 PhD and Graduate Center, Payame Noor University, Shahnaz Alley Haj Mahmood Norian Street, Shiraz, Iran

3 Tabriz College of Technology, P. O. Box 51745-135, Tabriz, Iran


We show that higher derivations on a Hilbert $C^{*}-$module associated with the Cauchy functional equation satisfying generalized Hyers--Ulam stability.