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- W3029540217 abstract "Abstract In [12] a close connection between stability results for the Cauchy equation and the completion of a normed space over the rationals endowed with the usual absolute value has been investigated. Here similar results are presented when the valuation of the rationals is a p -adic valuation. Moreover a result by Z ygfryd K ominek ([5]) on the stability of the Pexider equation is formulated and proved in the context of Banach spaces over the field of p -adic numbers." @default.
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- W3029540217 date "2020-05-08" @default.
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- W3029540217 title "Connections Between the Completion of Normed Spaces Over Non-Archimedean Fields and the Stability of the Cauchy Equation" @default.
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- W3029540217 doi "https://doi.org/10.2478/amsil-2020-0002" @default.
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