3 papers
math.FA2026
Spectrum of bidual uniform algebras
Marek Kosiek, Krzysztof Rudol
We obtain a description of the spectrum of bidual algebra of a uniform algebra . This spectrum turns out to be a quotient space of the hyper-Stonean envelope of the spe…
math.FA2025
General solution of corona problem
Marek Kosiek, Krzysztof Rudol
Using a description of the spectrum of bidual algebra of a uniform algebra we obtain abstract corona theorem for certain uniform algebras. It asserts the density of a…
math.PR2024
An operator theory approach to the evanescent part of a two-parametric weak-stationary stochastic process
Zbigniew Burdak, Marek Kosiek, Patryk Pagacz +1
A new approach to the evanescent part of a two-dimensional weak-stationary stochastic process with the past given by a half-plane is proceed. The classical result due to Helson and…