Geodesic
On (L1)* for General Measure Spaces
Canadian mathematical bulletin, Tome 6 (1963) no. 2, pp. 211-229

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It is well known that certain results such as the Radon-Nikodym Theorem, which are valid in totally σ -finite measure spaces, do not extend to measure spaces in which μ is not totally σ -finite. (See §2 for notation.) Given an arbitrary measure space (X, S, μ) and a signed measure ν on (X, S), then if ν ≪ μ for X, ν ≪ μ when restricted to any e ∊ Sf and the classical finite Radon-Nikodym theorem produces a measurable function ge(x), vanishing outside e, with 
Ellis, H. W.; Snow, D. O. On (L1)* for General Measure Spaces. Canadian mathematical bulletin, Tome 6 (1963) no. 2, pp. 211-229. doi: 10.4153/CMB-1963-020-6
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     title = {On {(L1)*} for {General} {Measure} {Spaces}},
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     year = {1963},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1963-020-6/}
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