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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Scalar and vector valued premeasures


Authors: M. K. Nayak and T. P. Srinivasan
Journal: Proc. Amer. Math. Soc. 48 (1975), 391-396
MSC: Primary 28A45
DOI: https://doi.org/10.1090/S0002-9939-1975-0369653-6
MathSciNet review: 0369653
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Abstract: A real valued (respectively Banach space valued) set-function on a lattice of sets extends to a $ \sigma $-additive measure on a $ \sigma $-field provided it is finitely additive tight, continuous at $ \emptyset $ and has a bounded (respectively conditionally weakly compact) range.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0369653-6
Keywords: Tight, modular, continuous at $ \emptyset $.
Article copyright: © Copyright 1975 American Mathematical Society