\(f\)-orthomorphisms and \(f\)-linear operators on the order dual of an \(f\)-algebra (Q1925473)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(f\)-orthomorphisms and \(f\)-linear operators on the order dual of an \(f\)-algebra |
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Statements
\(f\)-orthomorphisms and \(f\)-linear operators on the order dual of an \(f\)-algebra (English)
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18 December 2012
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The authors study \(f\)-orthomorphisms and \(f\)-linear operators on the order dual of an \(f\)-algebra. They prove that if an \(f\)-algebra has the factorization property (not necessarily unital), then orthomorphisms, \(f\)-orthomorphisms, and \(f\)-linear operators on the order dual are precisely the same class of operators.
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\(f\)-algebra
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\(f\)-orthomorphisms
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\(f\)-linear operators
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