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math.FA2026
The isoperimetric inequality for the Ky Fan norm
Lu\'ıs Daniel Abreu
We show that, among all measurable sets with finite area , the disc of area maximizes the Ky Fan norm, which is defined as the sum of the first eig…
math.FA2025
On quantum large sieve inequalities and operator recovery from incomplete information
Luís Daniel Abreu, Michael Speckbacher, Erling A. T. Svela
We obtain large sieve type inequalities for the Rayleigh quotient of the restriction of phase space representations of higher rank operators, via an operator analogue of the short-…