6533b7cefe1ef96bd1257abf
RESEARCH PRODUCT
On $p$-Dunford integrable functions with values in Banach spaces
Pilar RuedaJosé RodríguezEnrique A. Sánchez-pérezJ. M. Calabuigsubject
Pure mathematicsMathematics::Functional AnalysisIntegrable systemApplied MathematicsOperator (physics)010102 general mathematicsP-Summing operatorw*-Thick setBanach space28B05 46G10Composition (combinatorics)01 natural sciencesP-Pettis integrable functionFunctional Analysis (math.FA)Mathematics - Functional Analysis010101 applied mathematicsDunford operatorCompact spaceProbability spaceP-Dunford integrable functionFOS: Mathematics0101 mathematicsMATEMATICA APLICADAAnalysisMathematicsdescription
[EN] Let (Omega, Sigma, mu) be a complete probability space, X a Banach space and 1 X. Special attention is paid to the compactness of the Dunford operator of f. We also study the p-Bochner integrability of the composition u o f: Omega->Y , where u is a p-summing operator from X to another Banach space Y . Finally, we also provide some tests of p-Dunford integrability by using w*-thick subsets of X¿.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-08-01 |