Asymptotic Hölder absolute values

E. Muñoz Garcia

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-7

Abstract:

We prove that asymptotic Hölder absolute values are Hölder equivalent to classical absolute values. As a corollary we obtain a generalization of Ostrowski's theorem and a classical theorem by E. Artin. The theorem presented implies a new, more flexible, definition of classical absolute value.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:979640

DOI: 10.1155/S0161171202110398

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