Extension and factorization of Riesz n-morphisms on pre-Riesz spaces
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Contributors
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 language | English |
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Article number | 125767 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 507 |
Issue number | 2 |
Publication status | Published - 15 Mar 2022 |
Peer-reviewed | Yes |
External IDs
Scopus | 85118499094 |
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