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 $a$-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 $\mathfrak {C} \subset \mathfrak {A}$.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            