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The Injective Tensor Product

  • Raymond A. Ryan
Chapter
  • 1.1k Downloads
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

In this chapter we study the injective norm for tensor products. The injective tensor product gives a representation of Banach spaces of continuous vector valued functions and injective tensor products with L 1 (μ) spaces provide an introduction to the Pettis integral. The duality theory of injective tensor products leads to the introduction of the important classes of integral bilinear forms and operators.

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Copyright information

© Springer-Verlag London 2002

Authors and Affiliations

  • Raymond A. Ryan
    • 1
  1. 1.Department of MathematicsNational University of Ireland, GalwayGalwayIreland

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