Hi! My name is Bartosz, I am an assistant professor of mathematics at Mälardalen University in Sweden. Previously I was a lecturer in mathematics at KTH Royal Institute of Technology and a doctoral student at Lund University.

I like mathematical analysis in general. My research interests include complex function theory, harmonic analysis and operator theory.

My CV can be found here.

Preprints

- On the Crouzeix ratio for N×N matrices

with Javad Mashreghi, Ryan O'Loughlin and Thomas Ransford (2024) arXiv - Distributing mass under a pointwise bound and an application to weighted polynomial approximation

with Linus Bergqvist (2024) arXiv - Double-layer potentials, configuration constants and applications to numerical ranges

with Javad Mashreghi, Ryan O'Loughlin and Thomas Ransford (2024) arXiv - Spectral clumping for functions and distributions decreasing rapidly on a half-line

(2023) arXiv - Shift operators, Cauchy integrals and approximations

(2023) arXiv

Publications

- Embeddings into de Branges-Rovnyak spaces

with Daniel Seco, accepted for publication in*Studia Mathematica*(2024) arXiv - Revisiting mean-square approximation by polynomials in the unit disk

accepted for publication in*Journal d'Analyse Mathématique*(2023) arXiv - Thomson decompositions of measures in the disk

*Transactions of the American Mathematical Society*(2023) doi - On the problem of smooth approximations in H(b) and connections to subnormal operators

with Adem Limani,*Journal of Functional Analysis*(2023) doi - Cyclic inner functions in growth classes and applications to approximation problems

*Canadian Mathematical Bulletin*(2023) doi - Construction of some families of smooth Cauchy transforms

with Adem Limani,*Canadian Journal of Mathematics*(2024) doi - On model spaces and density of functions smooth on the boundary

with Adem Limani,*Revista Matemática Iberoamericana*(2023) doi - An abstract approach to approximations in spaces of pseudocontinuable functions

with Adem Limani,*Proceedings of the American Mathematical Society*(2022) doi - Generalized Cesàro operators: geometry of spectra and quasi-nilpotency

with Adem Limani,*International Mathematics Research Notices*(2021) doi - Hilbert spaces of analytic functions with a contractive backward shift

with Alexandru Aleman,*Journal of Functional Analysis*(2019) doi - Spectra of Generalized Cesàro Operators Acting on Growth Spaces

*Integral Equations and Operator Theory*(2018) doi - Density of disk algebra functions in de Branges–Rovnyak spaces

with Alexandru Aleman,*Comptes Rendus Mathematique*(2017) doi

Doctoral thesis

- Operator theory on holomorphic function spaces, advisor Alexandru Aleman.

Master thesis

- Zero-divisors and idempotents in group rings, advisor Johan Öinert.

Other unpublished work

- Nearly invariant subspaces of de Branges spaces (2019) arXiv
- Inner functions, invariant subspaces and cyclicity in P^t(mu)-spaces, with Adem Limani (2021) arXiv

Current teaching, Autumn 2024

Work

Address: | Mälardalens universitet, Box 883, 721 23 Västerås, Sweden |

E-mail: | bartosz.malman@mdu.se bartek.malman@gmail.com |