Auerbach bases of real ${\ell }_p^n$ spaces

Arun Maiti, Debmalya Sain

We study Auerbach bases of the space ${\ell }_p^n$, and in particular, prove that ${\ell }_p^n$ has only finitely many Auerbach bases for $p>n$ and $1<p<n/(n-1)$. An explicit one-paramet…