Abstract
It is proved that a (C 1, C 2)-Hölder valuation is (2, α)-equivalent to classical valuation on the set of matrices over a skew field and on the set of cubic matrices over a field. These results provide an extension of the Garcia theorem.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 10, No. 4, pp. 225–233, 2004.
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Hosseini, M.H. Hölder rigidity for matrices. J Math Sci 140, 333–339 (2007). https://doi.org/10.1007/s10958-007-0427-4
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DOI: https://doi.org/10.1007/s10958-007-0427-4