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On the Crouzeix ratio for matrices
Bartosz Malman, Javad Mashreghi, Ryan O'Loughlin +1
The Crouzeix ratio of an complex matrix is the supremum of taken over all polynomials such that on the numerical range of . It i…
Inner functions, invariant subspaces and cyclicity in -spaces
Adem Limani, Bartosz Malman
We study the invariant subspaces generated by inner functions for a class of -spaces which can be identified as spaces of analytic functions in the unit disk $\ma…
On the problem of smooth approximations in de Branges-Rovnyak spaces and connections to subnormal operators
Adem Limani, Bartosz Malman
For the class of de Branges-Rovnyak spaces of the unit disk defined by extreme points of the unit ball of , we study the problem of appr…
An abstract approach to approximations in spaces of pseudocontinuable functions
Adem Limani, Bartosz Malman
We give an abstract approach to approximations with a wide range of regularity classes in spaces of pseudocontinuable functions , where is an inner f…
On model spaces and density of functions smooth on the boundary
Adem Limani, Bartosz Malman
We characterize the model spaces in which functions with smooth boundary extensions are dense. It is shown that such approximations are possible if and only if the singular m…
Generalized Cesàro operators: geometry of spectra and quasi-nilpotency
Adem Limani, Bartosz Malman
For the class of Hardy spaces and standard weighted Bergman spaces of the unit disk we prove that the spectrum of a generalized Cesàro operator is unchanged if the symbol …