TY  - JOUR
ID  - Rudol2004
LB  - Rudol2004
AU  - Rudol, Krzysztof
TI  - Corona theorem and isometries
ST  - Corona theorem and isometries
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2004
VL  - 24
IS  - 1
SP  - 123
EP  - 131
DO  - http://dx.doi.org/10.7494/OpMath.2004.24.1.123
UR  - http://dx.doi.org/10.7494/OpMath.2004.24.1.123
AB  - 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.
KW  - Hardy classes
KW  - Taylor's joint spectra
KW  - cluster sets
SN  - 1232-9274
ER  -