Über die Winkel zwischen Unterräumen
Tom 162 / 2020
Colloquium Mathematicum 162 (2020), 143-157
MSC: Primary 11J13.
DOI: 10.4064/cm7885-7-2019
Opublikowany online: 27 April 2020
Streszczenie
We prove a metric statement about approximation of an -dimensional linear subspace A in \mathbb {R}^d by n-dimensional rational subspaces. We consider the problem of finding a rational subspace B of bounded height H=H(B) for which the angle of inclination \psi (A,B) is small in terms of H. In the simplest case d=4, n=2 we give a partial solution of a problem formulated by W. M. Schmidt in 1967.
