Gâteaux Differentiability of Convex Functions and Topology: Weak Asplund SpacesISBN: 978-0-471-16822-5
Hardcover
180 pages
April 1997
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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.