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\(f\)-orthomorphisms and \(f\)-linear operators on the order dual of an \(f\)-algebra revisited - MaRDI portal

\(f\)-orthomorphisms and \(f\)-linear operators on the order dual of an \(f\)-algebra revisited (Q2319237)

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\(f\)-orthomorphisms and \(f\)-linear operators on the order dual of an \(f\)-algebra revisited
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    \(f\)-orthomorphisms and \(f\)-linear operators on the order dual of an \(f\)-algebra revisited (English)
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    16 August 2019
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    Summary: We give a necessary and sufficient condition on an \(f\)-algebra \(A\) for which orthomorphisms, \(f\)-linear operators, and \(f\)-orthomorphisms on the order dual \(A^\sim\) are the same class of operators.
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    \(f\)-algebra
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    \(f\)-linear operators
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    \(f\)-orthomorphisms
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