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Banach Spaces

  • Sheldon Axler
Open Access
Chapter
Part of the Graduate Texts in Mathematics book series (GTM, volume 282)

Abstract

We begin this chapter with a quick review of the essentials of metric spaces. Then we extend our results on measurable functions and integration to complex-valued functions. After that, we rapidly review the framework of vector spaces, which allows us to consider natural collections of measurable functions that are closed under addition and scalar multiplication.

Copyright information

© Sheldon Axler 2020

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Authors and Affiliations

  • Sheldon Axler
    • 1
  1. 1.Department of MathematicsSan Francisco State UniversitySan FranciscoUSA

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