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arXiv · 1809.05873

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

Onno van Gaans·Feng Zhang
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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.

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BibTeXRIS

Onno van Gaans, Feng Zhang. 2018-09-16. Domination properties and extension of positive compact operators on pre-Riesz spaces. https://arxiv.org/abs/1809.05873

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