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HYERS—ULAM—RASSIAS STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS IN BANACH MODULES OVER A C^*—ALGEBRA
作者姓名:C. PARK  J. PARK  J. SHIN
作者单位:Department of Mathematics,Chungnam National University,DaeJeon 305-764,South Korea.,Department of Mathematics,Chungnam National University,DaeJeon 305-764,South Korea.,Department of Mathematics,Chungnam National University,DaeJeon 305-764,South Korea.
基金项目:Project supported by grant No.KRF-2000-015-DP0038.
摘    要:The authors prove the Hyers-Ulam-Rassias stability of the quadratic mapping in Banach modules over a unital C*-algebra, and prove the Hyers-Ulam-Rassias stability of the quadratic mapping in Banach modules over a unital Banach algebra.

关 键 词:Hyers-Ulam-Rassias稳定性  泛函方程  Banach模  C^*代数  Banach代数
收稿时间:2028/9/1 0:00:00

HYERS-ULAM-RASSIAS STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS IN BANACH MODULES OVER A $C^*$-ALGEBRA
C. PARK,J. PARK,J. SHIN.HYERS-ULAM-RASSIAS STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS IN BANACH MODULES OVER A $C^*$-ALGEBRA[J].Chinese Annals of Mathematics,Series B,2003,24(2):261-266.
Authors:C PARK  J PARK and J SHIN
Institution:Department of Mathematics, Chungnam National University, DaeJeon 305-764, South Korea
Abstract:The authors prove the Hyers-Ulam-Rassias stability of the quadratic mapping in Banach modules over a unital C*-algebra, and prove the Hyers-Ulam-Rassias stability of the quadratic mapping in Banach modules over a unital Banach algebra.
Keywords:Stability  B-quadratic  Functional equation  Banach module over Banach algebra
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