On badly approximable subspaces
Tom 195 / 2020
Acta Arithmetica 195 (2020), 1-11
MSC: Primary 11J13, 11K60.
DOI: 10.4064/aa181016-1-7
Opublikowany online: 24 April 2020
Streszczenie
Given an -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}.