Topics in Banach Space Theory

Fenando Albiac, N. J. Kalton (Autoren)

Buch | Hardcover

387 Seiten

2006
Springer-Verlag New York Inc.
978-0-387-28141-4 (ISBN)

Infos

Emphasizes the isomorphic theory of Banach spaces and techniques using the unifying viewpoint of basic sequences. This book intends to provide the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts.

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This book emphasizes the isomorphic theory of Banach spaces and techniques using the unifying viewpoint of basic sequences. Its aim is to provide the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems.

Inhalt

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.

Produkt-Details

• Reihe/Serie: Graduate Texts in Mathematics ; 233
• Zusatzinfo: biography
• Verlagsort: New York, NY
• Sprache: englisch
• Maße: 156 x 234 mm
• Gewicht: 724 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• ISBN-10: 0-387-28141-X / 038728141X
• ISBN-13: 978-0-387-28141-4 / 9780387281414
• Zustand: Neuware