- Tytuł:
- Pointwise multiplication operators on weighted Banach spaces of analytic functions
- Autorzy:
-
Bonet, J.
Domański, P.
Lindström, M. - Powiązania:
- https://bibliotekanauki.pl/articles/1216221.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
weighted Banach spaces of analytic functions
pointwise multiplication operator
essential norm, closed range
approximative point spectrum
maximal ideal space of $H^∞$
Shilov boundary
Gleason part
hypercyclic operator
chaotic operator - Opis:
- For a wide class of weights we find the approximative point spectrum and the essential spectrum of the pointwise multiplication operator $M_φ$, $M_φ(f)=φf$, on the weighted Banach spaces of analytic functions on the disc with the sup-norm. Thus we characterize when $M'_φ$ is Fredholm or is an into isomorphism. We also study cyclic phenomena for the adjoint map $M'_φ$.
- Źródło:
-
Studia Mathematica; 1999, 137, 2; 177-194
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł