Preserving operators on semiprime f-algebras
Functional Analysis
2021-08-17 v1
Abstract
It is an open problem whether a separating operator acting between semiprime f-algebras is a weighted composition operator ( <cite>AAB</cite>). We prove that the answer is positive if and only if the separating operator is almost contractive. As a consequence, we can generalized and strengthen some well-known results on separating operators.
Cite
@article{arxiv.2108.06392,
title = {Preserving operators on semiprime f-algebras},
author = {Jaber Jamel and Khalfaoui Adnen},
journal= {arXiv preprint arXiv:2108.06392},
year = {2021}
}