Author

Mishko Mitkovski

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Preprint Oct 2026

Orthogonality, Spectral Filling, and Uncertainty

Let a normalized continuous Parseval frame describe the phase space of a reproducing kernel Hilbert space. The frame coefficients of an orthonormal family have total mass equal to the number of states and pointwise mass at most one. This elementary exclusion principle gives explicit lower bounds for the total cost of a...

Travis Alvarez, Trevor Camper, Mishko Mitkovski · 0 citations

Preprint Sep 2026

A Compact Counterexample to Su\'arez's Berezin Approximation Question

Let $A^2(\mathbb D)$ be the unweighted Bergman space and write $Q_m(S)=T_{B_m(S)}$ for the map induced by the $m$th higher-order Berezin transform. Su\'arez asked in 2005 whether $Q_m(S)$ converges to $S$ in operator norm for every $S$ in the full Bergman Toeplitz algebra. We answer this question negatively in a strong...

Mishko Mitkovski, Yu-Yuan Ouyang · 0 citations