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Gateaux Differentiability of Convex Functions and Topology

Weak Asplund Spaces

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Gateaux Differentiability of Convex Functions and Topology by Marian J. Fabian
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This volume puts together results touching weak Asplund spaces which are currently spread throughout the literature. All subclasses are discussed, including interferences and counterexamples, with a special emphasis on topological implications. Nonseparable Banach spaces, renorming, and differentiability are stressed throughout. Proofs, many of them new and most of them "considerably better that their traditional counterparts", are presented when necessary. Related open questions conclude each chapter.
Release date NZ
April 23rd, 1997
Country of Publication
United States
John Wiley & Sons Inc
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