Spectra of weighted algebras of holomorphic functions
We consider weighted algebras of holomorphic functions on a Banach space. We determine conditions on a family of weights that assure that the corresponding weighted space is an algebra or has polynomial Schauder decompositions. We study the spectra of weighted algebras and endow them with an analyti...
| Autor principal: | |
|---|---|
| Publicado: |
2009
|
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255874_v263_n4_p887_Carando http://hdl.handle.net/20.500.12110/paper_00255874_v263_n4_p887_Carando |
| Aporte de: |
| Sumario: | We consider weighted algebras of holomorphic functions on a Banach space. We determine conditions on a family of weights that assure that the corresponding weighted space is an algebra or has polynomial Schauder decompositions. We study the spectra of weighted algebras and endow them with an analytic structure. We also deal with composition operators and algebra homomorphisms, in particular to investigate how their induced mappings act on the analytic structure of the spectrum. Moreover, a Banach-Stone type question is addressed. © Springer-Verlag 2008. |
|---|