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math.FA2026
Automorphic Nelson Dilations for Contractions and Invariant Subspace Tracking
Kelly Bickel, J. E. Pascoe, Ryan Tully-Doyle
Given an strictly contractive matrix , an (automorphic) Nelson dilation of is a certain type of analytic matrix-valued function on the unit disk w…
math.CV2026
Two-Variable Compressions of Shifts, Toeplitz Operators, and Numerical Ranges
Kelly Bickel, Katie Quertermous, Matina Trachana
This paper studies two-variable compressions of shifts associated to rational inner functions on the bidisk; these generalize the classical compressions of the shift associated to…