We give a necessary and sufficient condition on an -algebra for which orthomorphisms, -linear operators, and -orthomorphisms on the order dual are the same class of operators.
"-Orthomorphisms and -Linear Operators on the Order Dual of an -Algebra Revisited." Abstr. Appl. Anal. 2013 1 - 4, 2013. https://doi.org/10.1155/2013/896302