Asymptotic Hölder absolute values
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....
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202110398 |
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doaj-fa906bf3b255470d9b270990eac57de52020-11-25T00:37:15ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01311232910.1155/S0161171202110398Asymptotic Hölder absolute valuesE. Muñoz Garcia0Department of Mathematics, University of California, Los Angeles, 405 Hilgard Avenue, Los Angeles 90095-1555, CA, USAWe 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.http://dx.doi.org/10.1155/S0161171202110398 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
E. Muñoz Garcia |
| spellingShingle |
E. Muñoz Garcia Asymptotic Hölder absolute values International Journal of Mathematics and Mathematical Sciences |
| author_facet |
E. Muñoz Garcia |
| author_sort |
E. Muñoz Garcia |
| title |
Asymptotic Hölder absolute values |
| title_short |
Asymptotic Hölder absolute values |
| title_full |
Asymptotic Hölder absolute values |
| title_fullStr |
Asymptotic Hölder absolute values |
| title_full_unstemmed |
Asymptotic Hölder absolute values |
| title_sort |
asymptotic hölder absolute values |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2002-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/S0161171202110398 |
| work_keys_str_mv |
AT emunozgarcia asymptoticholderabsolutevalues |
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