6533b85afe1ef96bd12b8b4f

RESEARCH PRODUCT

Classical operators on weighted Banach spaces of entire functions

Carmen FernándezJosé BonetMaría J. BeltránMaría J. Beltrán

subject

Unbounded operatorMathematics::Functional AnalysisPure mathematicsMathematical societyApproximation propertyApplied MathematicsGeneral MathematicsEntire functionBanach spaceFinite-rank operatorIntegration operatorOperator theoryWeighted Banach spacesHypecyclic operatorsDifferentiation operatorMean ergodic operatorsMATEMATICA APLICADAMathematicsVolume (compression)

description

We study the operators of differentiation and of integration and the Hardy operator on weighted Banach spaces of entire functions. We estimate the norm of the operators, study the spectrum, and analyze when they are surjective, power bounded, hypercyclic, and (uniformly) mean ergodic.

https://doi.org/10.1090/s0002-9939-2013-11685-0