Locally convex topological vector lattices and their representation

Volume 17 No 12 (2019)

S. K. Sahani , K. S. Prasad , A. K. Thakur and B. K. Nirala

DOI: 10.48047/nq.2019.17.12.NQ19117

Abstract

A locally convex topology is defined for a vector lattice having a weak order unit and a certain partition of the weak order unit, analogous to the order unit topology. The purpose of this paper is to generalize the theory of normed vector lattices in an analogous fashion, by introducing the concept of locally convex lattices. This work is motivated by the work of [15-17].

Keywords

Normed spaces, Normed vector lattices, Locally convex spaces, etc

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