Beatrice Maier, Tim Netzer
Published 2024-08-19Version 1
We show that the Carath\'{e}odory number of the joint numerical range of $d$ many bounded self-adjoint operators is at most $d-1$, and even at most $d-2$ if the underlying Hilbert space has dimension at least $3$. This extension of the classical convexity results for numerical ranges shows that also joint numerical ranges are significantly less non-convex than general sets.
Frames of subspaces in Hilbert spaces with $W$-metrics
Some inequalities for $(α, β)$-normal operators in Hilbert spaces
The splitting lemmas for nonsmooth functionals on Hilbert spaces I
![QR code for arXiv:2409.04444 [math.FA]](http://oss.arxitics.com/images/favicon.svg)