Connor Evans

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math.FA2026

Linear completeness of trajectories in Sobolev spaces and the symmetrised polydisk

Lyonell Boulton, Connor Evans

We establish a framework to determine the linear completeness of families of non-linear trajectories in Hilbert spaces, which relies on an infinite analytic block Toeplitz operator…

math.FA2025

Hilbert space models and Blaschke frames

Connor Evans

For a finite Blaschke product $B$ and for an isometry $V$ on an infinite-dimensional separable complex Hilbert space $H$ we study a sequence $(b_{m})_{m = 1}^{\infty}$ of vecto…