Random sections of ${\ell }_p$-ellipsoids, optimal recovery and Gelfand numbers of diagonal operators

Aicke Hinrichs, Joscha Prochno, Mathias Sonnleitner

We study the circumradius of a random section of an ${\ell }_p$-ellipsoid, $0<p\le \infty$, and compare it with the minimal circumradius over all sections with subspaces of the same c…