STABILITY AND SUPERSTABILITY OF JORDAN HOMOMORPHISMS AND JORDAN DERIVATIONS ON BANACH ALGEBRAS AND C*-ALGEBRAS: A FIXED POINT APPROACH

doi:10.1016/S0252-9602(11)60370-6

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (5): 1911-1922.doi: 10.1016/S0252-9602(11)60370-6

STABILITY AND SUPERSTABILITY OF JORDAN HOMOMORPHISMS AND JORDAN DERIVATIONS ON BANACH ALGEBRAS AND C*-ALGEBRAS: A FIXED POINT APPROACH

M. Eshaghi Gordji, A. Najati, A. Ebadian

Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran|Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, P.O.Box 35195-363, Semnan, Iran|Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran|Department of Mathematics, Urmia University, Urmia, Iran

收稿日期:2009-12-09 修回日期:2010-04-11 出版日期:2011-09-20 发布日期:2011-09-20

STABILITY AND SUPERSTABILITY OF JORDAN HOMOMORPHISMS AND JORDAN DERIVATIONS ON BANACH ALGEBRAS AND C*-ALGEBRAS: A FIXED POINT APPROACH

M. Eshaghi Gordji, A. Najati, A. Ebadian

Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran|Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, P.O.Box 35195-363, Semnan, Iran|Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran|Department of Mathematics, Urmia University, Urmia, Iran

Received:2009-12-09 Revised:2010-04-11 Online:2011-09-20 Published:2011-09-20

摘要/Abstract

摘要：

Using fixed point methods, we prove the Hyers–Ulam–Rassias stability and su-perstability of Jordan homomorphisms (Jordan *-homomorphisms), and Jordan derivations (Jordan *-derivations) on Banach algebras (C*-algebras) for the generalized Jensen–type
functional equation
rf(x + y/r ) + rf(x − y/r) = 2f(x),
where r is a fixed positive real number in (1,1).

关键词: alternative fixed point, Hyers–Ulam–Rassias stability, Jordan homomor-phism, Jordan derivation

Key words: alternative fixed point, Hyers–Ulam–Rassias stability, Jordan homomor-phism, Jordan derivation

中图分类号:

39B52

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]. 数学物理学报(英文版), 2011, 31(5): 1911-1922.

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,Series B, 2011, 31(5): 1911-1922.

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STABILITY AND SUPERSTABILITY OF JORDAN HOMOMORPHISMS AND JORDAN DERIVATIONS ON BANACH ALGEBRAS AND C*-ALGEBRAS: A FIXED POINT APPROACH

STABILITY AND SUPERSTABILITY OF JORDAN HOMOMORPHISMS AND JORDAN DERIVATIONS ON BANACH ALGEBRAS AND C*-ALGEBRAS: A FIXED POINT APPROACH

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