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math.FA2026
The isoperimetric inequality for the Ky Fan norm
Lu\'ıs Daniel Abreu
The paper proves that among all measurable sets in the complex plane with a given area, the disc maximizes the Ky Fan norm (the sum of the first N eigenvalues) of the associated To…
math.FA2025
On quantum large sieve inequalities and operator recovery from incomplete information
LuÃs 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-…