Topics in Banach Space Theory

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

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Topics in Banach Space Theory - Fenando Albiac, N. J. Kalton
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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.
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.

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.

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
Naturwissenschaften Physik / Astronomie
ISBN-10 0-387-28141-X / 038728141X
ISBN-13 978-0-387-28141-4 / 9780387281414
Zustand Neuware
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