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math.CV2026
Square Functions, Complete Crouzeix Conjecture in Dimension Three, and the Clouâtre-Ostermann-Ransford conjecture
Per Åhag, Rafał Czyż, Jani Virtanen
We settle the complete Crouzeix conjecture for matrices of order at most three and prove the Q-algebra case of the completely bounded Clouâtre-Ostermann-Ransford (COR) conjecture f…
math.CV2026
Maximal Plurisubharmonic Functions and Fujii-Seo Determinants in Hilbert spaces
Per Åhag, Rafał Czyż, Antti Perälä +1
Let be a complex Hilbert space and let be a domain. In infinite dimensions, there is no canonical complex Monge--Ampère operator and no basis-free determinant of t…