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math.FA2014
Spectral stability for compact perturbations of Toeplitz matrices
M. A. Astaburuaga, O. Bourget, V. H. Cortés
Let be a regular real-valued non-constant symbol defined on the one dimensional torus . Denote respectively by and , its set of critical points and the asso…
math.FA2013
Commutation Relations for Unitary Operators
M. A. Astaburuaga, O. Bourget, V. H. Cortés
Let be a unitary operator defined on some infinite-dimensional complex Hilbert space . Under some suitable regularity assumptions, it is known that a local positive c…