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Fundamentalnaya i Prikladnaya Matematika, 2004, Volume 10, Issue 4, Pages 225–233
(Mi fpm785)
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Hölder rigidity for matrices
M. H. Hosseini University of Birjand
Abstract:
It is proved that a $(C_{1},C_{2})$-Hölder valuation is $(2,\alpha)$-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.
Citation:
M. H. Hosseini, “Hölder rigidity for matrices”, Fundam. Prikl. Mat., 10:4 (2004), 225–233; J. Math. Sci., 140:2 (2007), 333–339
Linking options:
https://www.mathnet.ru/eng/fpm785 https://www.mathnet.ru/eng/fpm/v10/i4/p225
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