On the Analytic Radon–Nikodym Property for Bounded Subsets in Banach Spaces | Zendy

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On the Analytic Radon–Nikodym Property for Bounded Subsets in Banach Spaces

Author(s) -

Bu Shangquan

Publication year - 1993

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/s2-47.3.484

Subject(s) - mathematics , banach space , bounded function , property (philosophy) , class (philosophy) , analytic function , pure mathematics , radon , approximation property , equivalence (formal languages) , banach manifold , discrete mathematics , lp space , mathematical analysis , computer science , physics , philosophy , epistemology , quantum mechanics , artificial intelligence

We define the analytic Radon–Nikodym property for bounded subsets in complex Banach spaces and show the equivalence between the analytic Radon–Nikodym property, convergence of a class of analytic (or alternatively, Hardy) martingales related to the subset and the existence of radial limits for a class of analytic functions related to the subset.

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