Approximately higher Hilbert $C^*$-module derivations

نویسندگان
Alizadeh, B. ID 1
Ghaemi, M. B. ID 2

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

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

doi
10.22075/ijnaa.2010.73
چکیده

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

کلیدواژه‌ها
Hyers--Ulam stability, Hilbert $C^{*}-$modules, Derivation, Higher derivation, Fixed point theorem