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math.FA2025
Analytic Schur multipliers
Aleksei Aleksandrov, Vladimir Peller
We study in this paper analytic Schur multipliers on and , i.e. Schur multipliers on and that are boundary-value functions of f…
math.FA2025
Functions of dissipative operators under relatively bounded and relatively trace class perturbations
Aleksei Aleksandrov, Vladimir Peller
We study the behaviour of functions of dissipative operators under relatively bounded and relatively trace class perturbation. We introduce and study the class of analytic relative…