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Locally Asplund Preduals of Spaces of Holomorphic Functions |
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| Authors: | Christopher Boyd Seán Dineen Pilar Rueda |
| Affiliation: | (1) DEPARTMENT OF MATHEMATICS, UNIVERSITY COLLEGE DUBLIN, BELFIELD, DUBLIN 4, IRELAND;(2) DEPARTAMENTO DE ANáLISIS MATEMáTICO FACULTAD DE MATEMáTICAS, UNIVERSIDAD DE VALENCIA, 46100 BURJASSOT, VALENCIA, SPAIN |
| Abstract: | Defant [5] introduced the local Radon–Nikodym property for duals of locally convex spaces. This is a generalization of Asplund spaces as defined in Banach space theory. In this paper we generalise Dunford"s Theorem [7] to Banach spaces with Schauder decompositions and apply this result to spaces of holomorphic functions on balanced domains in a Banach space. This revised version was published online in June 2006 with corrections to the Cover Date. |
| Keywords: | locally Asplund spaces holomorphic functions Dunford" s Theorem |
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