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math.SP2019★ 1 cited
Szegő's Theorem for Canonical Systems: the Arov Gauge and a Sum Rule
David Damanik, Benjamin Eichinger, Peter Yuditskii
We consider canonical systems and investigate the Szegő class, which is defined via the finiteness of the associated entropy functional. Noting that the canonical system may be stu…
math.SP2015
Killip-Simon problem and Jacobi flow on GMP matrices
Peter Yuditskii
One of the first theorems in perturbation theory claims that for an arbitrary self-adjoint operator A there exists a perturbation B of Hilbert-Schmidt class, which destroys complet…