Scalar and vector valued premeasures
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- by M. K. Nayak and T. P. Srinivasan PDF
- Proc. Amer. Math. Soc. 48 (1975), 391-396 Request permission
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.References
- J. L. Kelley and T. P. Srinivasan, Pre-measures on lattices of sets, Math. Ann. 190 (1970/71), 233–241. MR 279267, DOI 10.1007/BF01433213
- J. L. Kelley, M. K. Nayak, and T. P. Srinivasan, Pre-measures on lattices of sets. II, Vector and operator valued measures and applications (Proc. Sympos., Alta, Utah, 1972) Academic Press, New York, 1973, pp. 155–164. MR 0333108
- Igor Kluvánek, The extension and closure of vector measure, Vector and operator valued measures and applications (Proc. Sympos., Alta, Utah, 1972) Academic Press, New York, 1973, pp. 175–190. MR 0335741
Additional Information
- © Copyright 1975 American Mathematical Society
- 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