@Article{Rudol2004,
author = "Rudol, Krzysztof",
title = "Corona theorem and isometries",
journal = "Opuscula Math.",
year = "2004",
volume = "24",
number = "1",
pages = "123--131",
doi = "http://dx.doi.org/10.7494/OpMath.2004.24.1.123",
url = "http://dx.doi.org/10.7494/OpMath.2004.24.1.123",
abstract = "The aim of this note is to discuss a new operator theory approach to Corona Problem. An equivalent operator problem invariant under unitary equivalence is stated. The related condition involves certain joint spectra of commuting subnormal operators. A special case leading to isometries is studied. As a result one obtains a relatively short proof of Corona Theorem for a wide class of domains in the plane, where Marshall's Theorem on the approximation by inner functions holds.",
keywords = "Hardy classes, Taylor's joint spectra, cluster sets",
issn = "1232-9274"
}