English

Multiplicative order continuous operators on Riesz algebras

Functional Analysis 2022-01-31 v1

Abstract

In this paper, we investigate operators on Riesz algebras, which are continuous with respect to multiplicative modifications of order convergence and relatively uniform convergence. We also introduce and study mo-Lebesgue, mo-KBKB, and mo-Levi operators.

Keywords

Cite

@article{arxiv.2201.12095,
  title  = {Multiplicative order continuous operators on Riesz algebras},
  author = {Abdullah Aydın and Eduard Emelyanov and Svetlana Gorokhova},
  journal= {arXiv preprint arXiv:2201.12095},
  year   = {2022}
}
R2 v1 2026-06-24T09:07:18.564Z