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Creators/Authors contains: "Glenning, Annie"

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  1. ; ; ; ; (, Concrete Operators)
    Abstract This article studies the level set Crouzeix (LSC) conjecture, which is a weak version of Crouzeix’s conjecture that applies to finite compressions of the shift. Among other results, this article establishes the LSC conjecture for several classes of 3 × 3 3\times 3, 4 × 4 4\times 4, and 5 × 5 5\times 5matrices associated with compressions of the shift via a geometric analysis of their numerical ranges. This study also establishes Crouzeix’s conjecture for several classes of nilpotent matrices whose studies are motivated by related compressions of shifts. 
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