6533b833fe1ef96bd129b690

RESEARCH PRODUCT

Asplund Operators on Locally Convex Spaces

Maria Pilar RuedaChristopher BoydSeán Dineen

subject

Mathematics::Functional AnalysisPure mathematicsProperty (philosophy)GeneralizationLocally convex topological vector spaceMathematical analysisBanach spaceAstrophysics::Solar and Stellar AstrophysicsMathematics::General TopologySymmetric tensorDual polyhedronCharacterization (mathematics)Mathematics

description

We study the relationship between the local Radon-Nikodým property, introduced by Defant [4] as a generalization of the Radon-Nikodým property to duals of locally convex spaces, and the Asplund operators, introduced by Robertson [7]. We also give a characterization of Asplund symmetric tensor products of Banach spaces in terms of Asplund maps.

https://doi.org/10.1007/978-1-4613-0271-1_27