On Fragments on Lattice Normed Vector Lattices
Results in Mathematics, vol.78, no.6, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 78 Issue: 6
- Publication Date: 2023
- Doi Number: 10.1007/s00025-023-02017-y
- Journal Name: Results in Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Keywords: Bo-fragments, Fragments, Lattice normed vector lattices
- Hacettepe University Affiliated: Yes
Abstract
In the present paper, we investigate (bo)-fragments in lattice normed spaces. After showing that every (bo)-fragment of a positive element is a fragment in the case of lattice normed vector lattices, we prove that the collection of all (bo)-fragments of a positive element forms an order complete Boolean algebra. Several examples and detailed discussions of various cases are presented.