Article ID Journal Published Year Pages File Type
4620394 Journal of Mathematical Analysis and Applications 2009 10 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis