| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4590737 | Journal of Functional Analysis | 2013 | 19 Pages |
Abstract
We prove that every Banach space, not necessarily separable, can be isometrically embedded into an Lâ-space in a way that the corresponding quotient has the Radon-Nikodym and the Schur properties. As a consequence, we obtain Lâ 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jordi Lopez-Abad,