A note on the order bidual of f-algebras

Abstract

Copyright © 2013 Esra Uluocak and Ömer Gök. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The paper deals with the Arens Multiplication which we accomplished in four steps in the order bidual ~ ~X. It is shown that if f is an element of order dual ~X of X with 0) ( ≠fε and,+ ∈ Xx then 0. =xf implies.0) ( =xf