- Tytuł:
- Corona Theorem and isometries
- Autorzy:
- Rudol, K.
- Powiązania:
- https://bibliotekanauki.pl/articles/2050192.pdf
- Data publikacji:
- 2004
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Hardy classes
Taylor's joint spectra
cluster sets - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2004, 24, 1; 123-131
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł