Lucas Borboleta - Tag - quadratiqueAu fil du temps, l'auteur entreprend de partager quelques travaux d'amateur en mathématiques, physique, photographie, etc.
Over time, the author undertakes to share some amateur work in mathematics, physics, photography, etc.2024-03-21T16:26:49+01:00Lucas Borboletaurn:md5:0c9ce0ab0af019c8bd0152e323e3a939DotclearReturn on the 1932 proof of the Auerbach Theorem about Bounded Linear Groupsurn:md5:ff6227d38ff0d73e83846c125bab58822013-11-24T17:50:00+01:00LucasMathématiquesespacegroupeinvariantnormequadratique In 1932, Auerbach proved that, in any finite vector normed space, each bounded linear group <span style="background- line-height: 20.15625px;">left invariant a quadratic and positive form. This work revisits his proof with modern </span><span style="background- line-height: 20.15625px;">notation, and aims at paying attention to weaknesses: </span><a href="http://lucas.borboleta.blog.free.fr/public/Borboleta_2013_Return-on-Auerbach-Theorem-for-bounded-linear-group/Borboleta_2013_Return-on-Auerbach-Theorem-for-bounded-linear-group.pdf" style="background- line-height: 20.15625px;">Borboleta_2013_Return-on-Auerbach-Theorem-for-bounded-linear-group.pdf</a><span style="background- line-height: 20.15625px;">.</span>http://lucas.borboleta.blog.free.fr/index.php?post/2013/11/24/Auerbach#comment-formhttp://lucas.borboleta.blog.free.fr/index.php?feed/atom/comments/4779754