On maximal measures with respect to a lattice
Outer measures are used to obtain measures that are maximal with respect to a normal lattice. Alternate proofs are then given extending the measure theoretic characterizations of a normal lattice to an arbitrary, non-negative finitely additive measure on the algebra generated by the lattice. Finally...
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| Format: | Article |
| Language: | English |
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Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000091 |
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| _version_ | 1832553543017431040 |
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| author | James Camacho |
| author_facet | James Camacho |
| author_sort | James Camacho |
| collection | DOAJ |
| description | Outer measures are used to obtain measures that are maximal with respect to
a normal lattice. Alternate proofs are then given extending the measure theoretic
characterizations of a normal lattice to an arbitrary, non-negative finitely additive
measure on the algebra generated by the lattice. Finally these general results are
used to consider σ-smooth measures with respect to the lattice when further conditions
on the lattice hold. |
| format | Article |
| id | doaj-art-5610929ea26a408a94b02ce24b347cbe |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5610929ea26a408a94b02ce24b347cbe2025-02-03T05:53:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-01141939810.1155/S0161171291000091On maximal measures with respect to a latticeJames Camacho0Jersey City State College, 2039 Kennedy Boulevard, Jersey City 07305, NJ, USAOuter measures are used to obtain measures that are maximal with respect to a normal lattice. Alternate proofs are then given extending the measure theoretic characterizations of a normal lattice to an arbitrary, non-negative finitely additive measure on the algebra generated by the lattice. Finally these general results are used to consider σ-smooth measures with respect to the lattice when further conditions on the lattice hold.http://dx.doi.org/10.1155/S0161171291000091lattice regular measuresnormal latticesσ-smooth measures. |
| spellingShingle | James Camacho On maximal measures with respect to a lattice International Journal of Mathematics and Mathematical Sciences lattice regular measures normal lattices σ-smooth measures. |
| title | On maximal measures with respect to a lattice |
| title_full | On maximal measures with respect to a lattice |
| title_fullStr | On maximal measures with respect to a lattice |
| title_full_unstemmed | On maximal measures with respect to a lattice |
| title_short | On maximal measures with respect to a lattice |
| title_sort | on maximal measures with respect to a lattice |
| topic | lattice regular measures normal lattices σ-smooth measures. |
| url | http://dx.doi.org/10.1155/S0161171291000091 |
| work_keys_str_mv | AT jamescamacho onmaximalmeasureswithrespecttoalattice |