On badly approximable subspaces

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 badly approximability almost all $c$-dimensional linear subspaces $\mathfrak{C}\subset \mathfrak{A}$.

minor corrections