Characterizations of Outer Measures Associated with Lattice Measures

@inproceedings{Hsu2000CharacterizationsOO,
  title={Characterizations of Outer Measures Associated with Lattice Measures},
  author={P. Hsu},
  year={2000}
}
Let ν be a finite countably subadditive outer measure defined on all subsets of a set X, take a collection C of subsets of X containing X and ∅, we derive an outer measure ρ using ν on sets in C. By applying this general framework on two special cases in which ν = μ′′, one where μ ∈ Mσ(L) and the other where μ ∈ Mσ(L1), L1 ⊆ L2 being lattices on a set X, we obtain new characterizations of the outer measure μ′′. These yield useful relationships between various set functions including μi, μj… CONTINUE READING

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References

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Showing 1-5 of 5 references

Outer measures: measurability, σ -smoothness and regularity

C. Vlad
J. Math. Sci. (Calcutta) • 1996
View 9 Excerpts
Highly Influenced

Measurability and smooth measure extension, Ph.D

T. Wibisono
New York, • 1997
View 1 Excerpt

Outer measures associated with lattice measures and their application

C. Traina
Int. J. Math. Math. Sci • 1995
View 1 Excerpt

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