The k-rank numerical radii

Details The k-rank numerical radii The k-rank numerical radii

2011-04-07

arxiv.org/abs/1104.1338v3

Mathematics

Functional Analysis

9 pages, 2 figures. To appear in Annals of Functional Analysis, 2012

Scientific paper

The $k$-rank numerical range $\Lambda_{k}(A)$ is expressed via an
intersection of a countable family of numerical ranges
$\{F(M^{*}_{\nu}AM_{\nu})\}_{\nu\in\mathbb{N}}$ with respect to $n\times
(n-k+1)$ isometries $M_{\nu}$. This implication for $\Lambda_{k}(A)$ provides
further elaboration of the $k$-rank numerical radii of $A$.

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