Approximately higher Hilbert $C^*$-module derivations

Authors

B. Alizadeh PhD and Graduate Center, Payame Noor University, Shahnaz Alley Haj Mahmood Norian Street, $$AND$$ Tabriz College of Technology, P. O. Box 51745-135, Tabriz, Iran.

M. B. Ghaemi Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

Abstract:

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

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Journal title

International Journal of Nonlinear Analysis and Applications

volume 1 issue 2

pages 36- 43

publication date 2010-06-01

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Keywords

Hyers--Ulam stability Hilbert $C^{*}-$modules derivation Higher derivation fixed point theorem

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