Classical Theorems

Pei-Kee Lin
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Pei-Kee Lin: University of Memphis, Department of Mathematics

Chapter Chapter 1 in Köthe-Bochner Function Spaces, 2004, pp 1-100 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-0-8176-8188-3_1

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