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.
Reihe
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Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 240 mm
Breite: 161 mm
Dicke: 15 mm
Gewicht
ISBN-13
978-0-471-16822-5 (9780471168225)
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Schweitzer Klassifikation
Marian J. Fabian is the author of Gateaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces, published by Wiley.
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.
