On stability of the monomial functional equation in normed spaces over fields with valuation |
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| Authors: | Zoltá n Kaiser |
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| Affiliation: | Institute of Mathematics, University of Debrecen, H-4010 Debrecen, Pf. 12, Hungary |
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| Abstract: | A stability theorem is proved for the monomial functional equation where the functions map a normed space over a field of characteristic zero with an arbitrary valuation into a Banach space over a field of characteristic zero with a valuation. Some regularity properties of the monomial functions are also discussed. |
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| Keywords: | Monomial functional equation Stability p-adic fields Fields with valuation |
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