科研之友
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摘要
We prove that every Banach space, not necessarily separable, can be isometrically embedded into an L-infinity-space in a way that the corresponding quotient has the Radon-Nikodym and the Schur properties. As a consequence, we obtain L-infinity spaces of arbitrary large densities with the Schur and the Radon-Nikodym properties. This extends the result by J. Bourgain and G. Pisier in (1983) [6] for separable spaces.
- 出版日期2013-10-1
