An almost orthosymmetric bilinear map

Authors : Ruşen YILMAZ

Pages : 2143-2153

Doi:10.31801/cfsuasmas.515703

View : 15 | Download : 13

Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :In this paper, as a generalization of the concept of pseudo-almost f -algebra, we define a new concept of almost orthosymmetric bilinear map on a vector lattice and prove that the Arens triadjoint of a positive almost orthosymmetric bilinear map is positive almost orthosymmetric.This also extends results on the order bidual of pseudo-almost f -algebras.
Keywords : Vector lattice, order bidual, Arens adjoint, pseudo almost f algebra