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On \(f\)-linearity and \(f\)-orthomorphisms - MaRDI portal

On \(f\)-linearity and \(f\)-orthomorphisms (Q1588021)

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scientific article; zbMATH DE number 1538736
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English
On \(f\)-linearity and \(f\)-orthomorphisms
scientific article; zbMATH DE number 1538736

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    On \(f\)-linearity and \(f\)-orthomorphisms (English)
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    3 September 2001
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    The author gives a natural abstraction of the concept of orthomorphism between vector lattices to the concept of \(f\)-orthomorphism between \(A\)-modules with \(A\) a unital \(f\)-algebra. The author translates the usual structural properties of orthomorphisms to the case of \(f\)-orthomorphisms.
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    \(f\)-algebra
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    orthomorphism
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    order bounded operator
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