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Classical Theorems

  • Pei-Kee Lin

Abstract

Recall that a Banach space is a complete normed space. In this book, we always assume that X is an infinite-dimensional Banach space. For completeness, in this chapter, we provide some basic results on Banach spaces that we will use in this book. Most of them can be found in the books [8, 12, 17, 18, 21, 28, 44, 73, 79] and the two survey papers [19, 72].

Keywords

Banach Space Separable Banach Space Classical Theorem Unconditional Basis Compact Hausdorff Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Pei-Kee Lin
    • 1
  1. 1.Department of MathematicsUniversity of MemphisMemphisUSA

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