Topics in Banach Space Theory

  • Fernando Albiac
  • Nigel J. Kalton

Part of the Graduate Texts in Mathematics book series (GTM, volume 233)

About this book

Introduction

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) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces. The aim of this text 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.
Fernando Albiac received his PhD in 2000 from Universidad Publica de Navarra, Spain. He is currently Visiting Assistant Professor of Mathematics at the University of Missouri,
Columbia. Nigel Kalton is Professor of Mathematics at the University of Missouri, Columbia. He has written over 200 articles with more than 82 different co-authors, and most recently, was the recipient of the 2004 Banach medal of the Polish Academy of Sciences.

Keywords

Banach Space Sequence space banach spaces functional analysis

Authors and affiliations

  • Fernando Albiac
    • 1
  • Nigel J. Kalton
    • 1
  1. 1.Department of MathematicsUniversity of MissouriColumbiaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/0-387-28142-8
  • Copyright Information Springer Inc. 2006
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-28141-4
  • Online ISBN 978-0-387-28142-1
  • Series Print ISSN 0072-5285
  • About this book