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Gâteaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces

ISBN: 978-0-471-16822-5

March 1997

180 pages

Description
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.
About the Author

Marián J. Fabian is the author of Gateaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces, published by Wiley.