| STABILITY AND SUPERSTABILITY OF JORDAN HOMOMORPHISMS AND JORDAN DERIVATIONS ON BANACH ALGEBRAS AND C~＊-ALGEBRAS： A FIXED POINT APPROACH |
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| 作者姓名： | M. Eshaghi Gordji A. Najati A. Ebadian |
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| 作者单位： | Department of Mathematics;Semnan University;P.O.Box 35195-363;Semnan;Iran;Center of Excellence in Nonlinear Analysis and Applications (CENAA);University of Mohaghegh Ardabili;Ardabil;Urmia University;Urmia; |
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| 摘 要： | Using fixed point methods, we prove the Hyers-Ulam-Rassias stability and superstability of Jordan homomorphisms (Jordan *-homomorphisms), and Jordan derivations (Jordan *-derivations) on Banach algebras (C*-algebras) for the generalized Jensen-type functional equationwhere r is a fixed positive real number in (1, ∞).
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| 关 键 词： | Banach代数 固定点 稳定性 约旦 同态 正实数 |
| 收稿时间： | 9 December 2009 |
Stability and superstability of Jordan homomorphisms and Jordan derivations on Banach algebras and C-algebras: A fixed point approach |
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| M. Eshaghi Gordji,A. Najati,A. Ebadian.Stability and superstability of Jordan homomorphisms and Jordan derivations on Banach algebras and C-algebras: A fixed point approach[J].Acta Mathematica Scientia,2011,31(5):1911-1922. |
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| Authors: | M Eshaghi Gordji A Najati A Ebadian |
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| Institution: | aDepartment of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran;bCenter of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, P.O.Box 35195-363, Semnan, Iran;cDepartment of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran;dDepartment of Mathematics, Urmia University, Urmia, Iran |
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| Abstract: | Using fixed point methods, we prove the Hyers-Ulam-Rassias stability and superstability of Jordan homomorphisms (Jordan *-homomorphisms), and Jordan derivations (Jordan *-derivations) on Banach algebras (C*-algebras) for the generalized Jensen-type functional equation
 , where r is a fixed positive real number in (1,∞). |
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| Keywords: | alternative fixed point Hyers-Ulam-Rassias stability Jordan homomorphism Jordan derivation |
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