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math.FA2014
A short introduction to de Branges--Rovnyak spaces
Dan Timotin
The notes provide a short introduction to de Branges--Rovnyak spaces. They cover some basic facts and are intended to give the reader a taste of the theory, providing sufficient mo…
math.FA2014
Schur coupling and related equivalence relations for operators on a Hilbert space
Dan Timotin
For operators on Hilbert spaces of any dimension, we show that equivalence after extension coincides with equivalence after one-sided extension, thus obtaining a proof of their coi…