Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleHölder rigidity for matrices.AuthorsHosseini, M. H.AbstractIt 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.SubjectsDIVISION rings; MATRICES (Mathematics); GEOMETRIC rigidity; VALUATION theory; MATHEMATICAL mappings; DETERMINANTAL ringsPublicationJournal of Mathematical Sciences, 2007, Vol 140, Issue 2, p333ISSN1072-3374Publication typeArticleDOI10.1007/s10958-007-0427-4