Unbounded Vector Measures
Canadian mathematical bulletin, Tome 9 (1966) no. 3, pp. 331-341
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The aim of this paper is to extend the idea of a measure which takes on values in Euclidean n-space so as to allow it to assume infinite values while preserving its countable additivity over a given σ-ring. It is shown that in order to do this it is necessary to restrict the range of the measure to one infinite value.
Byers, William. Unbounded Vector Measures. Canadian mathematical bulletin, Tome 9 (1966) no. 3, pp. 331-341. doi: 10.4153/CMB-1966-041-2
@article{10_4153_CMB_1966_041_2,
author = {Byers, William},
title = {Unbounded {Vector} {Measures}},
journal = {Canadian mathematical bulletin},
pages = {331--341},
year = {1966},
volume = {9},
number = {3},
doi = {10.4153/CMB-1966-041-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-041-2/}
}
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