Universal Lusin measurability and subfamily summable families in abelian topological groups

Author:
William H. Graves

Journal:
Proc. Amer. Math. Soc. **73** (1979), 45-50

MSC:
Primary 28C10; Secondary 46G99

MathSciNet review:
512056

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Abstract | References | Similar Articles | Additional Information

Abstract: It is proved that if *G* is a Hausdorff abelian topological group with respect to topologies such that is complete and the identity map of onto is universally Lusin measurable, then the subfamily summable families are the same for and .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1979-0512056-5

Keywords:
Orlicz-Pettis theorem,
subfamily summable families,
abelian group-valued measures,
universal measurability

Article copyright:
© Copyright 1979
American Mathematical Society