6533b821fe1ef96bd127adcd

RESEARCH PRODUCT

Interpolating sequences on uniform algebras

Alejandro MirallesPablo GalindoMikael Lindström

subject

Discrete mathematicsUnit sphereSequencePseudohyperbolic distanceUniform algebraInterpolating sequenceLinear interpolationDual (category theory)Analytic functionUniform algebraBounded functionGeometry and TopologyAlgebra over a fieldAnalytic functionMathematics

description

Abstract We consider the problem of whether a given interpolating sequence for a uniform algebra yields linear interpolation. A positive answer is obtained when we deal with dual uniform algebras. Further we prove that if the Carleson generalized condition is sufficient for a sequence to be interpolating on the algebra of bounded analytic functions on the unit ball of c 0 , then it is sufficient for any dual uniform algebra.

yearjournalcountryeditionlanguage
2009-06-01Topology
https://doi.org/10.1016/j.top.2009.11.009