Decomposition of charges and measures
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- by Harald Luschgy PDF
- Proc. Amer. Math. Soc. 96 (1986), 121-125 Request permission
Abstract:
By means of a characterization of the band generated by a set of charges on an algebra of sets one can obtain unified proofs of some decomposition theorems for charges and measures.References
- K. P. S. Bhaskara Rao and M. Bhaskara Rao, Theory of charges, Pure and Applied Mathematics, vol. 109, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983. A study of finitely additive measures; With a foreword by D. M. Stone. MR 751777
- J. F. C. Kingman and A. P. Robertson, On a theorem of Lyapunov, J. London Math. Soc. 43 (1968), 347–351. MR 224768, DOI 10.1112/jlms/s1-43.1.347
- Harald Luschgy, Extreme invariant extensions of probability measures and probability contents, Illinois J. Math. 26 (1982), no. 1, 27–40. MR 638552
- Detlef Plachky, Extremal and monogenic additive set functions, Proc. Amer. Math. Soc. 54 (1976), 193–196. MR 419711, DOI 10.1090/S0002-9939-1976-0419711-3
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 96 (1986), 121-125
- MSC: Primary 28A12; Secondary 28A10
- DOI: https://doi.org/10.1090/S0002-9939-1986-0813823-4
- MathSciNet review: 813823