An almost orthosymmetric bilinear map

Year 2019, Volume: 68 Issue: 2, 2143 - 2153, 01.08.2019

Ruşen Yılmaz

https://doi.org/10.31801/cfsuasmas.515703

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

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