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Overview
This text puts together "folklore results" touching weak Asplund spaces. It presents a thorough examination of weak Asplund cases. Nonseparable Banach spaces, renorming, and differentiability are stressed throughout the text and all subclasses, including inferences and counterexamples are discussed. It also covers Stegall's classes, fragmentability, and "long sequences" of linear projections. Notes, remarks and questions end each chapter.
Synopsis
This text puts together "folklore results" touching weak Asplund spaces. It presents a thorough examination of weak Asplund cases. Nonseparable Banach spaces, renorming, and differentiability are stressed throughout the text and all subclasses, including inferences and counterexamples are discussed. It also covers Stegall's classes, fragmentability, and "long sequences" of linear projections. Notes, remarks and questions end each chapter.
Booknews
Presents results and the many open questions related to weak Asplund spaces, which unlike their stronger siblings, have proven elusive and difficult to study. Discusses Asplund spaces, Asplund generated spaces, weakly compactly generated spaces, Vas<'a>k spaces, and Banach spaces whose dual belong to Stegall's class, and the relations between them. Also considers various classes of topological spaces, include Eberlein, Gul'ko, Radon-Nikod<'y>m compacta, and fragmentabilty. For functional analysts working with nonseparable Banach spaces and differentiability. Annotation c. by Book News, Inc., Portland, Or.