Talk
On a Fréchet functional equation over non-Archimedean normed spaces
Sérgio Mendes (Mendes, S.); Gastão Henriques Bettencourt (Bettencourt, G. H.);
Event Title
Conferência Internacional
Year (definitive publication)
2021
Language
English
Country
Portugal
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Abstract
The first norm characterization of inner product spaces was given by Fréchet in 1935. In 1936, Jordan and von Neumann proved that a normed space X is an inner product space if and only if the parallelogram law holds in X. Since then many other characterizations have been proved. In this talk we study Hyers-Ulam stability for a functional equation on a nonarchimedean normed space. If time permits, a brief digression on nonarchimedean Hilbert spaces will also be presented.
Acknowledgements
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Keywords
Hyers-Ulam stability,Nonarchimedean Fréchet functional equation,Length function
Publication Identifiers
ci-pub-86550
Other Publication Details
Yes
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