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