<P>Assuming only a basic knowledge of functional analysis, the book gives the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues
Topics in Banach space theory
โ Scribed by Albiac, Fernando; Kalton, Nigel J
- Publisher
- Springer
- Year
- 2016
- Tongue
- English
- Leaves
- 512
- Series
- Graduate texts in mathematics 233
- Edition
- 2ed.
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content: 1. Bases and Basic Sequences.- 2. The Classical Sequence Spaces.- 3. Special Types of Bases.- 4. Banach Spaces of Continuous Functions.- 5. L_{1}(\mu )-Spaces and \mathcal C(K)-Spaces.- 6. The Spaces L_{p} for 1\le p^I Basic probability in use.- Appendix J Generalities on Ultraproducts.- Appendix K The Bochner Integral abridged.- List of Symbols.- References.- Index
๐ SIMILAR VOLUMES
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.
<P>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 concept
This book grew out of a one-semester course given by the second author in 2001 and a subsequent two-semester course in 2004-2005, both at the Univ- sity of Missouri-Columbia. The text is intended for a graduate student who has already had a basic introduction to functional analysis; the aim is to gi
This text provides 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. The two new chapters in this second ed