Representation Theorems for Spaces of the Type Lp(T,Σ,μ,ℂ)

  • H. Elton Lacey
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 208)


In section 14 we shall show that when μ is a finite measure L p (T, Σ, μ,ℂ) can be faithfully represented as a Banach lattice in terms of countable direct sums of spaces L p ([0,1]m, ℂ) where m is an infinite cardinal number and [0,1] m is m products of [0,1] with product Lebesgue measure being considered. We also discuss the isomorphic classification of these spaces.


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Copyright information

© Springer-Verlag Berlin · Heidelberg 1974

Authors and Affiliations

  • H. Elton Lacey
    • 1
  1. 1.Department of MathematicsUniversity of Texas at AustinAustinUSA

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