ON THE ANALYTIC RADON-NIKODYM PROPERTY FOR BOUNDED SUBSETS IN BANACH-SPACES

Authors
BU SQ
Citation
Sq. Bu, ON THE ANALYTIC RADON-NIKODYM PROPERTY FOR BOUNDED SUBSETS IN BANACH-SPACES, Journal of the London Mathematical Society, 47, 1993, pp. 484-496
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Journal of the London Mathematical Society → ACNP
ISSN journal
00246107
Volume
47
Year of publication
1993
Part
3
Pages
484 - 496
Database
ISI
SICI code
0024-6107(1993)47:<484:OTARPF>2.0.ZU;2-O
Abstract
We define the analytic Radon-Nikodym property for bounded subsets in c omplex Banach spaces and show the equivalence between the analytic Rad on-Nikodym property, convergence of a class of analytic (or alternativ ely, Hardy) martingales related to the subset and the existence of rad ial limits for a class of analytic functions related to the subset.