Compatible lattice orders and linear operators on \(\mathbf R^n\) (Q1124804)
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scientific article; zbMATH DE number 1371040
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compatible lattice orders and linear operators on \(\mathbf R^n\) |
scientific article; zbMATH DE number 1371040 |
Statements
Compatible lattice orders and linear operators on \(\mathbf R^n\) (English)
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28 November 1999
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Lattice orderings of real vector spaces compatible with both operations are characterized in terms of root bases. Archimedean index is characterized by equality of B-index, and isotone linear operators are studied.
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lattice-ordered group
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lattice-ordered vector space
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root system
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root basis
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B index
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0.9163944
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0.8790864
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0.8787238
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0.8753659
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0.87472916
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0.87385994
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