On a band generated by a disjointness preserving orthogonally additive operator
type: Item
instance of: scholarly article
title: On a band generated by a disjointness preserving orthogonally additive operator
zbMATH Open document ID: 1487.47065
DOI: 10.1134/S1995080221050024
author: Nariman Abasov
published in: Lobachevskii Journal of Mathematics
publication date: 2021-06-11T00:00:00Z
review text: The author investigates disjointness preserving orthogonally additive operators in vector lattices (Riesz spaces) and calculates the order projection in the space \(OA_{r}(E,F)\) of all regular orthogonally additive operators from a vector lattice \(E\) to a Dedekind complete vector lattice \(F\) onto the band \(\{T \}^{\perp \perp}\) of \(OA_{r}(E,F)\) generated by a disjointness preserving orthogonally additive operator \(T: E \rightarrow F\).
reviewed by: Ömer Gök
Mathematics Subject Classification ID: 47B60
zbMATH DE Number: 7357836
zbMATH Keywords: orthogonally additive operator
zbMATH Keywords: disjointness preserving operator
zbMATH Keywords: order projection
zbMATH Keywords: regular operator
zbMATH Keywords: band
zbMATH Keywords: Dedekind complete
zbMATH Keywords: vector lattice
MaRDI profile type: Publication
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full work available at URL: s1995080221050024
OpenAlex ID: W3168595270
description: scientific article; zbMATH DE number 7357836