Generalized Hyers–Ulam–Rassias stability of n-sesquilinear-quadratic mappings on Banach modules over -algebras |
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| Authors: | Chun-Gil Park |
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| Institution: | Department of Mathematics, Chungnam National University, YuSung Gu, Daejeon 305 764, Republic of Korea |
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| Abstract: | Assume that X is a left Banach module over a unital C*-algebra A. It is shown that almost every n-sesquilinear-quadratic mapping h:X×X×Xn→A is an n-sesquilinear-quadratic mapping when holds for all x,y,z1,…,znX.Moreover, we prove the generalized Hyers–Ulam–Rassias stability of an n-sesquilinear-quadratic mapping on a left Banach module over a unital C*-algebra. |
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| Keywords: | Banach module over C*-algebra n-sesquilinear-quadratic mapping Stability Functional equation n-inner product space |
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