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A new characterisation of the analytic Radon-Nikodym property

Author(s): Bu Shangquan
Journal: Proc. Amer. Math. Soc. 128 (2000), 1017-1022.
MSC (1991): Primary 46B20
Posted: July 28, 1999
MathSciNet review: 1641661
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Abstract: We show that a separable complex Banach space has the analytic Radon-Nikodym property if and only if there exists $1\leq p <\infty$ , such that the space consisting of all $L^{p}$ -bounded -valued analytic martingales is separable.

References:

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Additional Information:

Bu Shangquan
Affiliation: Department of Applied Mathematics, Tsinghua University, 100084 Beijing, People's Republic of China
Email: sbu@math.tsinghua.edu.cn

DOI: 10.1090/S0002-9939-99-05134-5
PII: S 0002-9939(99)05134-5
Keywords: Analytic Radon-Nikodym property, analytic martingale, separable Banach spaces
Received by editor(s): May 14, 1998
Posted: July 28, 1999
Additional Notes: This research was supported by the Natural Sciences Foundation of China and the Fok Ying Tung Education Foundation
Communicated by: Dale Alspach
Copyright of article: Copyright 2000, American Mathematical Society

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