Linear Functional Equations in Banach Modules over a C
*-Algebra |
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Authors: | Chun-Gil Park |
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Institution: | (1) Department of Mathematics, Chungnam National University, Daejeon, 305-764, South Korea |
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Abstract: | The paper is a survey on the Hyers–Ulam–Rassias stability of linear functional equations in Banach modules over a C
*-algebra. Its contents is divided into the following sections: 1. Introduction; 2. Stability of the Cauchy functional equation in Banach modules; 3. Stability of the Jensen functional equation in Banach modules; 4. Stability of the Trif functional equation in Banach modules; 5. Stability of cyclic functional equations in Banach modules over a C
*-algebra; 6. Stability of cyclic functional equations in Banach algebras and approximate algebra homomorphisms; 7. Stability of algebra *-homomorphisms between Banach *-algebras and applications. |
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Keywords: | unitary group linear functional equation cyclic functional equation approximate algebra homomorphism Banach module over C
*-algebra stability |
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