FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2004, VOLUME 10, NUMBER 4, PAGES 225-233

Hölder rigidity for matrices

M. H. Hosseini

Abstract

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It is proved that a $(C$1,C2)-Hölder valuation is $(2,$a)-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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Last modified: April 14, 2005