HYERS-ULAM-RASSIAS STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS IN BANACH MODULES OVER A $C^*$-ALGEBRA

Citation:

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 B,2003,24(2):261~266
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Authors:

C. PARK; J. PARK;J. SHIN

Foundation:

Project supported by the grant No. KRF-2000-015-DP0038.
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

Classification:

46L05, 47J25, 39B72
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