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On approximation of approximately linear mappings by linear mappings |
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| Authors: | John M Rassias |
| Affiliation: | Department of Mathematics, The American Deree College of Greece, Athens T.T. 451A, Greece |
| Abstract: | Assume A is a normed linear space, B is a Banach space, and f: A → B is a mapping “approximately linear.” We solve the following Ulam problem: “Give conditions in order for a linear mapping near an approximately linear mapping to exist.” |
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