6533b821fe1ef96bd127c07f
RESEARCH PRODUCT
Boundaries for algebras of analytic functions on function module Banach spaces
María D. AcostaMary Lilian LourençoPablo Galindosubject
Discrete mathematicsMathematics::Functional AnalysisGeneral MathematicsUniform algebraSpectrum (functional analysis)Interpolation spaceFinite-rank operatorBanach manifoldInfinite-dimensional holomorphyC0-semigroupLp spaceMathematicsdescription
We consider the uniform algebra of continuous and bounded functions that are analytic on the interior of the closed unit ball of a complex Banach function module X. We focus on norming subsets of , i.e., boundaries, for such algebra. In particular, if X is a dual complex Banach space whose centralizer is infinite-dimensional, then the intersection of all closed boundaries is empty. This also holds in case that X is an -sum of infinitely many Banach spaces and further, the torus is a boundary.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-11-13 | Mathematische Nachrichten |