The inverse of band preserving and disjointness preserving operators (Q1196260)
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scientific article; zbMATH DE number 78088
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The inverse of band preserving and disjointness preserving operators |
scientific article; zbMATH DE number 78088 |
Statements
The inverse of band preserving and disjointness preserving operators (English)
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15 December 1992
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The question whether a bijective and band preserving operator \(T\) mapping an Archimedean vector lattice \(\mathcal E\) into \(\mathcal E\) has a band preserving inverse \(T^{-1}\) is answered in positive and generalized for two cases: (i) \(\mathcal E\) has the principal projection property; (ii) \(\mathcal E\) is relatively uniformly complete.
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positive operator
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Riesz homomorphism
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bijective and band preserving operator
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Archimedean vector lattice
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band preserving inverse
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principal projection property
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relatively uniformly complete
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0.9398874
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0.93988734
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0.9371551
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0.92993176
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0.9205941
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0.9157092
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0.9137412
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0.90363044
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