3 papers
math.FA2026
A solution to the inverse generator problem and related questions
Emiel Lorist, Martin Meyries, Mark Veraar
We give a negative solution to the inverse generator problem on Hilbert spaces. More precisely, we construct a bounded operator with dense range on a Hilbert space that gen…
math.CA2026
Sparse domination implies convex body domination
Aapo Laukkarinen, Emiel Lorist
We prove that sparse domination of a bilinear form implies convex body domination. More precisely, if a bilinear form admits an -sparse bound, then its coordinate-wise exten…
math.CA2026
A solution to Crouzeix's conjecture
Emiel Lorist, Felix Schwenninger
We provide a proof of Crouzeix's conjecture, which combines the tools developed previously for weaker estimates with a simple perturbation lemma for -dilations. Applying the lem…