English

Orthosymmetric spaces over an Archimedean vector lattice

Functional Analysis 2019-10-29 v1

Abstract

We introduce and study the notion of orthosymmetric spaces over an Archimedean vector lattice as a generalization of finite-dimentional Euclidean inner spaces. A special attention has been paid to linear operators on these spaces.

Keywords

Cite

@article{arxiv.1910.12078,
  title  = {Orthosymmetric spaces over an Archimedean vector lattice},
  author = {Mohamed Amine Ben Amor and Karim Boulabiar and Jamel Jaber},
  journal= {arXiv preprint arXiv:1910.12078},
  year   = {2019}
}

Comments

22 Pages

R2 v1 2026-06-23T11:55:44.143Z