バナッハ空間論 Topics in Banach Space Theory (Graduate Texts in Mathematics Vol.252) （2006. XIV, 336 p. w. 6 figs.）

バナッハ空間論<br>Topics in Banach Space Theory (Graduate Texts in Mathematics Vol.252) （2006. XIV, 336 p. w. 6 figs.）

バナッハ空間論
Topics in Banach Space Theory (Graduate Texts in Mathematics Vol.252) （2006. XIV, 336 p. w. 6 figs.）

Albiac, Fenando/ Kalton, Nigel J.

SPRINGER, BERLIN（2006発売）

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製本 Hardcover:ハードカバー版／ページ数 372 p.
言語 ENG
商品コード 9780387281414

基本説明

Emphasizes the isomorphic theory of Banach spaces and techniques using the unifying viewpoint of basic sequences. Suitable for a semester-long graduate.

Full Description

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.