8 citations · 8 across the 2 of their papers we have counts for
4 papers · 1 filter
Crouzeix's Conjecture and related problems
Kelly Bickel, Pamela Gorkin, Anne Greenbaum +3
In this paper, we establish several results related to Crouzeix's conjecture. We show that the conjecture holds for contractions with eigenvalues that are sufficiently well-separat…
Numerical Range and Compressions of the Shift
Kelly Bickel, Pamela Gorkin
The numerical range of a bounded, linear operator on a Hilbert space is a set in that encodes important information about the operator. In this survey paper, we first…
Applications of Envelopes
Kelly Bickel, Pamela Gorkin, Trung Tran
Intuitively, an envelope of a family of curves is a curve that is tangent to a member of the family at each point. Here we use envelopes of families of circles to study objects fro…
Inner functions and operator theory
Isabelle Chalendar, Pamela Gorkin, Jonathan R. Partington
This tutorial paper presents a survey of results, both classical and new, linking inner functions and operator theory. Topics discussed include invariant subspaces, universal opera…