On badly approximable subspaces
Volume 195 / 2020
Acta Arithmetica 195 (2020), 1-11
MSC: Primary 11J13, 11K60.
DOI: 10.4064/aa181016-1-7
Published online: 24 April 2020
Abstract
Given an $a$-dimensional linear subspace $\mathfrak {A}$ in $\mathbb {R}^d$ which contains a badly approximable $b$-dimensional subspace $\mathfrak {B} \subset \mathfrak {A}$, we study the bad approximability of almost all $c$-dimensional linear subspaces $\mathfrak {C} \subset \mathfrak {A}$.
