A new characterisation of the analytic Radon-Nikodym property
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Abstract:
We show that a separable complex Banach space $X$ 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 $X$-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
- Received by editor(s): May 14, 1998
- Published electronically: 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 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1017-1022
- MSC (1991): Primary 46B20
- DOI: https://doi.org/10.1090/S0002-9939-99-05134-5
- MathSciNet review: 1641661