Bartosz Malman

collaborators

3 papers

math.FA2019

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 $T_{g}$ is unchanged if the symbol $g$ …

math.FA2019

Nearly invariant subspaces of de Branges spaces

Bartosz Malman

We prove that the nearly invariant subspaces of a de Branges space which have no common zeros are precisely of the form an exponential function times a de Branges space.

math.FA2018

Hilbert spaces of analytic functions with a contractive backward shift

Alexandru Aleman, Bartosz Malman

We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift $f (z) \mapsto \frac{f ( z ) - f ( 0 )}{z}$ is a contracti…