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

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • Anke Kalauch - , Institute of Analysis (Author)
  • Zalina A. Kusraeva - , Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences (Author)

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
Volume2022
Issue number507
Publication statusPublished - 2022
Peer-reviewedYes

External IDs

Scopus 85118499094

Keywords

Library keywords