An almost orthosymmetric bilinear map

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Date

2019-08-01

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Publisher

Ankara Üniversitesi Fen Fakültesi

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.

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Keywords

Vector lattice, Order bidual, Arens adjoint

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