On the higher rank numerical range of the shift operator
type: Distribution
access URL: https://hal.science/hal-00672704
format: HTML
issued: 2026-05-27T16:09:51.295956
modified: 2026-05-27T16:09:51.279413

test_moissonnage_selune
type: Agent

On the higher rank numerical range of the shift operator
type: Dataset
contact point: Organization
  fn: CCSD
keyword: mathmath-famathematics-mathfunctional-analysis-mathfa
keyword: infoeu-reposemanticspreprint
keyword: preprints-working-papers-
landing page: https://hal.science/hal-00672704
description: For any n-by-n complex matrix T and any $1\leqslant k\leqslant n$, let $\Lambda_{k}(T)$ the set of all $\lambda\in \C$ such that $PTP=\lambda P$ for some rank-k orthogonal projection $P$ be its higher rank-k numerical range. It is shown that if $\bbS$ is the n-dimensional shift on ${\C}^{n}$ then its rank-k numerical range is the circular disc centred in zero and with radius $\cos\dfrac{k\pi}{n+1}$ if $1
issued: 2026-05-27T16:09:51.288959
language: en
modified: 2026-05-27T16:09:51.288964