In the shadow of a positive operator (Q1358045)
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scientific article; zbMATH DE number 1023948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | In the shadow of a positive operator |
scientific article; zbMATH DE number 1023948 |
Statements
In the shadow of a positive operator (English)
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18 June 1997
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We introduce some new band generated by a regular operator, its shadow. Grounding on this concept, we can easily calculate projections to the principal bands generated by a lattice homomorphism and a Maharam operator (disjoint from the band of a rank-one operator). Moreover, calculating a band projection as a limit over a directed set of elementary band projections enables us to translate the formulas that we obtain to the case of dominated operators.
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band generated by a regular operator
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shadow
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principal bands
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lattice homomorphism
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Maharam operator
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band projection
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dominated operators
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