Extension and factorization of Riesz n-morphisms on pre-Riesz spaces

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Abstract

We show that a Riesz n-morphism on pre-Riesz spaces can be extended to a Riesz n-morphism on their Riesz completions. Moreover, we establish that a Riesz n-morphism on pre-Riesz spaces is the product of Riesz homomorphisms, if one considers the universal completion of the range space.

Details

Original languageEnglish
Article number125767
JournalJournal of Mathematical Analysis and Applications
Volume507
Issue number2
Publication statusPublished - 15 Mar 2022
Peer-reviewedYes

External IDs

Scopus 85118499094

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