Domination properties and extension of positive compact operators on pre-Riesz spaces
Functional Analysis
2018-09-18 v1
Abstract
This paper concerns positive domination property of compact operators on pre-Riesz spaces. The method is embedding the pre-Riesz space to the Riesz completion. It extends the order continuous norms in pre-Riesz spaces to Riesz completions. The compactness of third power of a positive operator is obtained in a pre-Riesz space which has an order unit.
Keywords
Cite
@article{arxiv.1809.05873,
title = {Domination properties and extension of positive compact operators on pre-Riesz spaces},
author = {Onno van Gaans and Feng Zhang},
journal= {arXiv preprint arXiv:1809.05873},
year = {2018}
}