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Beschreibung
The geometry of Banach spaces is a rich, beautiful, and rewarding subject. In this book the authors explore the isomorphic theory of Banach spaces and techniques, using the unifying viewpoint of basic sequences. Banach space theory can function as a window to such advanced concepts as harmonic analysis, and beyond into signal processing, economics and physics. The book is suitable for a semester-long graduate course and it will become a standard reference and textbook in the area.
The geometry of Banach spaces is a rich, beautiful, and rewarding subject. In this book the authors explore the isomorphic theory of Banach spaces and techniques, using the unifying viewpoint of basic sequences. Banach space theory can function as a window to such advanced concepts as harmonic analysis, and beyond into signal processing, economics and physics. The book is suitable for a semester-long graduate course and it will become a standard reference and textbook in the area.
Über den Autor
Fernando Albiac is Professor of mathematical analysis at the Public University of Navarra in Pamplona Spain. His current research focuses primarily on geometric nonlinear functional analysis and greedy approximation with respect to bases in Banach spaces.
Nigel Kalton was Professor of Mathematics at the University of Missouri, Columbia. He wrote over 250 articles with nearly 100 different co-authors, and was the recipient of the 2004 Banach Medal of the Polish Academy of Sciences.
Nigel Kalton was Professor of Mathematics at the University of Missouri, Columbia. He wrote over 250 articles with nearly 100 different co-authors, and was the recipient of the 2004 Banach Medal of the Polish Academy of Sciences.
Zusammenfassung
The geometry of Banach spaces is a rich, beautiful, and rewarding subject. In this book the authors explore the isomorphic theory of Banach spaces and techniques, using the unifying viewpoint of basic sequences. Banach space theory can function as a window to such advanced concepts as harmonic analysis, and beyond into signal processing, economics and physics. The book is suitable for a semester-long graduate course and it will become a standard reference and textbook in the area.
Inhaltsverzeichnis
Bases and Basic Sequences.- The classical sequence spaces.- Special types of bases.- Spaces of continuous functions.- L_1(\mu)-spaces and C(K)-spaces.- L_p(\mu)-spaces, 1 \leq p < \infty.- Factorization Theory.- Absolutely Summing Operators.- Symmetric Bases and Greedy Bases.- Ramsey methods.- Ultraproducts.
Details
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xi
376 S. |
| ISBN-13: | 9781441920997 |
| ISBN-10: | 1441920994 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Albiac, Fernando
Kalton, Nigel J. |
| Hersteller: | Springer Nature B.V. |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 21 mm |
| Von/Mit: | Fernando Albiac (u. a.) |
| Erscheinungsdatum: | 19.11.2010 |
| Gewicht: | 0,587 kg |