International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 1, Pages 23-29
doi:10.1155/S0161171202110398
Asymptotic Hölder absolute values
E. Muñoz Garcia
Department of Mathematics, University of California, Los Angeles, 405 Hilgard Avenue, Los Angeles 90095-1555, CA, USA
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.