Interpolation in ortholattices. (Q5932596)
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scientific article; zbMATH DE number 1603142
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interpolation in ortholattices. |
scientific article; zbMATH DE number 1603142 |
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Interpolation in ortholattices. (English)
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10 June 2001
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It is shown that for any ortholattice \(L\), any function \(f: L^n \to L\) can be represented by a polynomial with coefficients in some suitable orthoextension \(\bar L\) of \(L\). Moreover, if \(L\) is complete then \(\bar L\) can be constructed such that \(L\) is a convex sublattice of \(\bar L\). Two open problems are formulated.
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interpolation
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complete ortholattice
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polynomial
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