Return on the 1932 proof of the Auerbach Theorem about Bounded Linear Groups
Par Lucas le dimanche 24 novembre 2013, 17:50 - Mathématiques - Lien permanent
In 1932, Auerbach proved that, in any finite vector normed space, each bounded linear group left invariant a quadratic and positive form. This work revisits his proof with modern notation, and aims at paying attention to weaknesses: Borboleta_2013_Return-on-Auerbach-Theorem-for-bounded-linear-group.pdf.