Completeness of $L^p$-spaces over finitely additive set functions
نویسندگان
چکیده
منابع مشابه
Finitely additive representation of L spaces
Let λ̄ be any atomless and countably additive probability measure on the product space {0,1}N with the usual σ -algebra. Then there is a purely finitely additive probability measure λ on the power set of a countable subset T ⊂ T̄ such that Lp(λ̄) can be isometrically isomorphically embedded as a closed subspace of Lp(λ). The embedding is strict. It is also ‘canonical,’ in the sense that it maps si...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1971
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-22-2-257-261