On (L1)* for General Measure Spaces
Canadian mathematical bulletin, Tome 6 (1963) no. 2, pp. 211-229
Voir la notice de l'article provenant de la source Cambridge University Press
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
@article{10_4153_CMB_1963_020_6,
author = {Ellis, H. W. and Snow, D. O.},
title = {On {(L1)*} for {General} {Measure} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {211--229},
year = {1963},
volume = {6},
number = {2},
doi = {10.4153/CMB-1963-020-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1963-020-6/}
}
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