Geodesic
H\"older rigidity for matrices
Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 225-233

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{FPM_2004_10_4_a13,
     author = {M. H. Hosseini},
     title = {H\"older rigidity for matrices},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {225--233},
     publisher = {mathdoc},
     volume = {10},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2004_10_4_a13/}
}
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M. H. Hosseini. H\"older rigidity for matrices. Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 225-233. http://geodesic.mathdoc.fr/item/FPM_2004_10_4_a13/