On badly approximable subspaces

Natalia Dyakova

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arXiv · 1810.07432

On badly approximable subspaces

Natalia Dyakova

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

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Natalia Dyakova. 2019-05-08. On badly approximable subspaces. https://arxiv.org/abs/1810.07432

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