Spectrum of certain Banach algebras and ∂̅-problems

• Autorzy: Linus Carlsson , Urban Cegrell , Anders Fällström
• Języki publikacji: EN

Abstrakty

EN

We study the spectrum of certain Banach algebras of holomorphic functions defined on a domain Ω where ∂̅-problems with certain estimates can be solved. We show that the projection of the spectrum onto ℂⁿ equals Ω̅ and that the fibers over Ω are trivial. This is used to solve a corona problem in the special case where all but one generator are continuous up to the boundary.

Kategorie tematyczne

• 46J20: Ideals, maximal ideals, boundaries
• 32W05: ∂ ¯ and ∂ ¯ -Neumann operators
• 32A65: Banach algebra techniques \SeeMainly{}

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 90
• Numer: 1
• Strony: 51-58

Daty

wydano

2007

Twórcy

autor

Linus Carlsson

• Department of Mathematics and Mathematical Statistics, Umeå University, S-901 87 Umeå, Sweden

autor

Urban Cegrell

• Department of Mathematics and Mathematical Statistics, Umeå University, S-901 87 Umeå, Sweden

autor

Anders Fällström

• Department of Mathematics and Mathematical Statistics, Umeå University, S-901 87 Umeå, Sweden

Identyfikatory

DOI

10.4064/ap90-1-4