Stability of a Bi-Additive Functional Equation in Banach Modules Over a C⋆-Algebra
| Autor: | Won-Gil Park, Jae-Hyeong Bae |
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| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Discrete Dynamics in Nature and Society, Vol 2012 (2012) |
| Druh dokumentu: | article |
| ISSN: | 1026-0226 1607-887X |
| DOI: | 10.1155/2012/835893 |
| Popis: | We solve the bi-additive functional equation f(x+y,z−w)+f(x−y,z+w)=2f(x,z)−2f(y,w) and prove that every bi-additive Borel function is bilinear. And we investigate the stability of a bi-additive functional equation in Banach modules over a unital C⋆-algebra. |
| Databáze: | Directory of Open Access Journals |
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