P. Ohrysko

collaborators

4 papers

math.FA2026

Nevanlinna--Pick norms on scattered and Cantor spectra

PrzemysÅaw Ohrysko, Przemysław Ohrysko, MichaÅ Wojciechowski +1

We introduce Nevanlinna--Pick norms associated with finite families of characters on a commutative semisimple Banach algebra $A$ and study the class $N P_{\infty}$ of algebras for whi…

math.FA2026

Inversion problem in algebras of integrable functions with summable Fourier transforms

PrzemysÅaw Ohrysko

In this paper, we study the norm-controlled inversion problem in two classes of algebras of integrable functions. In contrast of the classical case of $L^{1} (G)$ , we prove that thi…

math.FA2025

Wiener-Pitt sets for compact Abelian groups

PrzemysÅaw Ohrysko, Przemysław Ohrysko, Tom Sanders +2

Suppose that $G$ is a compact Hausdorff Abelian group. We say $μ \in M (G)$ is strongly continuous if $∣ μ ∣ (x + H) = 0$ for any $x \in G$ and any $H \leq G$ that is closed and of infinite…

math.FA2025

An invitation to cortex algebras and spectral permanence property

PrzemysÅaw 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…