Marek Kosiek

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math.FA2026

Spectrum of bidual uniform algebras

Marek Kosiek, Krzysztof Rudol

We obtain a description of the spectrum of bidual algebra $A^{**}$ of a uniform algebra $A$ . This spectrum turns out to be a quotient space of the hyper-Stonean envelope of the spe…

math.FA2026

General solution of corona problem

Marek Kosiek, Krzysztof Rudol

Using a description of the spectrum of bidual algebra $A^{**}$ of a uniform algebra $A$ we obtain abstract corona theorem for certain uniform algebras. It asserts the density of a…