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.
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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.
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Definition 1.0.1. A Banach space V is called Asplund (weak Asplund) if every continuous convex function on it is Frechet (Gateaux) differentiable at each point of a dense G subset of V. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fragmentable Dual, Smooth Spaces Belong New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Definition 1.0.1. A Banach space V is called Asplund (weak Asplund) if every continuous convex function on it is Frechet (Gateaux) differentiable at each point of a dense G subset of V. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fragmentable Dual, Smooth Spaces Belong New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 26
books:
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- Handbook of Set-Theoretic Topology by Kenneth Kunen in Back Matter (1), and Back Matter (2)
- Real and Complex Analysis (International Series in Pure and Applied Mathematics) by Walter Rudin in Back Matter
- Selected Writings (Voyageur Classics) by A.J.M. Smith in Back Matter
- Methods of Complex Analysis in Partial Differential Equations with Applications (Canadian Mathematical Society Series of Monographs & Advanced Texts) by Manfred Kracht in Back Matter
- Sequences and Series in Banach Spaces (Graduate Texts in Mathematics) by J. Diestel in Back Matter
See all 26 books this book cites
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