Open Access
March 2007 Almost Derivations on $C^*$-Ternary Rings
Mohammad Sal Moslehian
Bull. Belg. Math. Soc. Simon Stevin 14(1): 135-142 (March 2007). DOI: 10.36045/bbms/1172852249

Abstract

We establish the generalized Hyers-Ulam-Rassias stability of derivations in $C^*$-ternary rings associated to the Cauchy functional equation. We also show that any so-called almost derivation on a $C^*$-ternary ring is a true derivation.

Citation

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Mohammad Sal Moslehian. "Almost Derivations on $C^*$-Ternary Rings." Bull. Belg. Math. Soc. Simon Stevin 14 (1) 135 - 142, March 2007. https://doi.org/10.36045/bbms/1172852249

Information

Published: March 2007
First available in Project Euclid: 2 March 2007

zbMATH: 1132.39026
MathSciNet: MR2327331
Digital Object Identifier: 10.36045/bbms/1172852249

Subjects:
Primary: 39B52‎
Secondary: 39B82 , 46L05

Keywords: $C^*$-ternary ring, , Cauchy functional equation , derivation‎ , Generalized Hyers-Ulam-Rassias stability

Rights: Copyright © 2007 The Belgian Mathematical Society

Vol.14 • No. 1 • March 2007
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