2 papers
math.FA2026
A Counterexample to the Gau--Wang--Wu Conjecture on Partial Isometries
Ryan O'Loughlin, Jani Virtanen
We disprove the conjecture of Gau, Wang and Wu that the numerical range of a finite-dimensional partial isometry, when circular, must be centred at the origin. More precisely, we p…
math.CV2026
Maximal Plurisubharmonic Functions and Fujii-Seo Determinants in Hilbert spaces
Per à hag, RafaŠCzyż, 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…