Domination properties and extension of positive compact operators on pre-Riesz spaces

Autor:	van Gaans, Onno, Zhang, Feng
Rok vydání:	2018
Předmět:	Mathematics - Functional Analysis 46B40 47B60
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1809.05873 Zobrazit plný text záznamu View this record from Arxiv