f -Orthomorphisms and f -Linear Operators on the Order Dual of an f -Algebra Revisited

Jamel Jaber

doi:10.1155/2013/896302

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Article

2013

f

-Orthomorphisms and

f

-Linear Operators on the Order Dual of an

f

-Algebra Revisited

Jamel Jaber

Abstr. Appl. Anal. 2013: 1-4 (2013). DOI: 10.1155/2013/896302

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Abstract

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 ${A}^{~}$ are the same class of operators.

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Jamel Jaber. " $f$ -Orthomorphisms and $f$ -Linear Operators on the Order Dual of an $f$ -Algebra Revisited." Abstr. Appl. Anal. 2013 1 - 4, 2013. https://doi.org/10.1155/2013/896302