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math.FA2025
Nevanlinna--Pick norms on scattered and Cantor spectra
Przemysław Ohrysko, Michał Wojciechowski
We introduce Nevanlinna--Pick norms associated with finite families of characters on a commutative semisimple Banach algebra and study the class of algebras for whi…
math.FA2025
Wiener-Pitt sets for compact Abelian groups
Przemysław Ohrysko, Tom Sanders, Michał Wojciechowski
Suppose that is a compact Hausdorff Abelian group. We say is strongly continuous if for any and any that is closed and of infinite…
math.FA2025
An invitation to cortex algebras and spectral permanence property
Przemysław Ohrysko
We initiate the study of cortex algebras (commutative Banach algebras with extendable multiplicative-linear functionals) and the spectral permanence property. In addition, we analy…