Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620394 | Journal of Mathematical Analysis and Applications | 2009 | 10 Pages |
Abstract
A characterization of Banach spaces admitting uniformly Gâteaux smooth norms in terms of σ-finite dual dentability indices is given. Some applications in the area of weak compactness are discussed. We also study σ-locally uniformly rotund dual renormings in connection with σ-countable dual dentability indices.
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