Gâteaux differentiability of convex functions and topology : weak asplund spaces
著者
書誌事項
Gâteaux differentiability of convex functions and topology : weak asplund spaces
（Canadian Mathematical Society series of monographs and advanced texts）
Wiley, c1997
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注記
"A Wiley-Interscience publication"
Includes bibliographical references (p.171-178) and index
内容説明・目次
内容説明
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.
目次
Canonical Examples of Weak Asplund Spaces.
Properties of Gateaux Differentiability Spaces and Weak AsplundSpaces.
Stegall's Classes.
Two More Concrete Classes of Banach Spaces that Lie in .
Fragmentability.
"Long Sequences" of Linear Projections.
Vaak Spaces and Gul'ko Compacta.
A Characterization of WCG Spaces and of Eberlein Compacta.
Main Open Questions and Problems.
References.
Index.
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