An almost orthosymmetric bilinear map

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:2
An almost orthosymmetric bilinear map

An almost orthosymmetric bilinear map

Pages : 2143-2153

View : 22 | Download : 16

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

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