characterizations of outer measures associated with lattice measures
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ID: 186656
2000
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Abstract
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,μ″, and μ′.
| Reference Key |
hsu2000internationalcharacterizations
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|---|---|
| Authors | ;Pao-Sheng Hsu |
| Journal | structural engineering and mechanics |
| Year | 2000 |
| DOI |
10.1155/S016117120000329X
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| URL | |
| Keywords |
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