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

  1. On the Crouzeix ratio for N×N matrices
    with Javad Mashreghi, Ryan O'Loughlin and Thomas Ransford (2024) arXiv
  2. Distributing mass under a pointwise bound and an application to weighted polynomial approximation
    with Linus Bergqvist (2024) arXiv
  3. Double-layer potentials, configuration constants and applications to numerical ranges
    with Javad Mashreghi, Ryan O'Loughlin and Thomas Ransford (2024) arXiv
  4. Spectral clumping for functions and distributions decreasing rapidly on a half-line
    (2023) arXiv
  5. Shift operators, Cauchy integrals and approximations
    (2023) arXiv

Publications

  1. Embeddings into de Branges-Rovnyak spaces
    with Daniel Seco, accepted for publication in Studia Mathematica (2024) arXiv
  2. Revisiting mean-square approximation by polynomials in the unit disk
    accepted for publication in Journal d'Analyse Mathématique (2023) arXiv
  3. Thomson decompositions of measures in the disk
    Transactions of the American Mathematical Society (2023) doi
  4. On the problem of smooth approximations in H(b) and connections to subnormal operators
    with Adem Limani, Journal of Functional Analysis (2023) doi
  5. Cyclic inner functions in growth classes and applications to approximation problems
    Canadian Mathematical Bulletin (2023) doi
  6. Construction of some families of smooth Cauchy transforms
    with Adem Limani, Canadian Journal of Mathematics (2024) doi
  7. On model spaces and density of functions smooth on the boundary
    with Adem Limani, Revista Matemática Iberoamericana (2023) doi
  8. An abstract approach to approximations in spaces of pseudocontinuable functions
    with Adem Limani, Proceedings of the American Mathematical Society (2022) doi
  9. Generalized Cesàro operators: geometry of spectra and quasi-nilpotency
    with Adem Limani, International Mathematics Research Notices (2021) doi
  10. Hilbert spaces of analytic functions with a contractive backward shift
    with Alexandru Aleman, Journal of Functional Analysis (2019) doi
  11. Spectra of Generalized Cesàro Operators Acting on Growth Spaces
    Integral Equations and Operator Theory (2018) doi
  12. Density of disk algebra functions in de Branges–Rovnyak spaces
    with Alexandru Aleman, Comptes Rendus Mathematique (2017) doi

Doctoral thesis


Master thesis


Other unpublished work

Work

Address: Mälardalens universitet,
Box 883,
721 23 Västerås,
Sweden
E-mail: bartosz.malman@mdu.se
bartek.malman@gmail.com