6533b7d6fe1ef96bd12667ec

RESEARCH PRODUCT

Fredholm composition operators on algebras of analytic functions on Banach spaces

Pablo GalindoMikael LindströmT. W. Gamelin

subject

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsSpectral theoryApproximation propertyFredholm operatorGlobal analytic functionFinite-rank operatorFredholm integral equationFredholm operatorCompact operatorFredholm theorysymbols.namesakesymbolsComposition operatorBounded analytic functionAnalysisMathematics

description

AbstractWe prove that Fredholm composition operators acting on the uniform algebra H∞(BE) of bounded analytic functions on the open unit ball of a complex Banach space E with the approximation property are invertible and arise from analytic automorphisms of the ball.

yearjournalcountryeditionlanguage
2010-03-01Journal of Functional Analysis
10.1016/j.jfa.2009.10.020http://dx.doi.org/10.1016/j.jfa.2009.10.020