The Spaces Lp for 1 ≤ p < ∞

  • Fernando Albiac
  • Nigel J. Kalton
Chapter
First Online:
Part of the Graduate Texts in Mathematics book series (GTM, volume 233)

Abstract

In this chapter we will initiate the study of the Banach space structure of the spaces L p (μ), where \(1 \leq p <\infty.\) We will be interested in some natural questions that ask which Banach spaces can be isomorphic to a subspace of a space L p (μ). Questions of this type were called problems of linear dimension by Banach in his book [18].

Keywords

Banach Space Unconditional Basis Haar System Haar Basis Nikodym Property 
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 International Publishing Switzerland 2016

Authors and Affiliations

  • Fernando Albiac
    • 1
  • Nigel J. Kalton
    • 1
  1. 1.Departamento de MatemáticasUniversidad Pública de NavarraPamplonaSpain

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