On orthogonally additive operators in \(C\)-complete vector lattices
type: Item
instance of: scholarly article
title: On orthogonally additive operators in \(C\)-complete vector lattices
zbMATH Open document ID: 1495.47087
published in: Banach Journal of Mathematical Analysis
publication date: 2021-12-27T00:00:00Z
Mathematics Subject Classification ID: 47H30
Mathematics Subject Classification ID: 46A40
Mathematics Subject Classification ID: 46B42
zbMATH DE Number: 7450663
zbMATH Keywords: orthogonally additive operator
zbMATH Keywords: Urysohn operator
zbMATH Keywords: Nemytskii operator
zbMATH Keywords: lateral projection
zbMATH Keywords: narrow operator
zbMATH Keywords: \(C\)-complete vector lattice
zbMATH Keywords: lateral band
author: Nazife Erkurşun Özcan
author: M. Pliev
MaRDI profile type: Publication
full work available at URL: s43037-021-00158-2
OpenAlex ID: W3215033247
cites work: Completely additive and \(C\)-compact operators in lattice-normed spaces
cites work: On band preserving orthogonally additive operators
cites work: Q5491574
cites work: Q4040886
cites work: Q3415147
cites work: Q5214051
cites work: Order compact and unbounded order compact operators
cites work: A characterization of non-linear maps satisfying orthogonality properties
cites work: A factorization for orthogonally additive operators on Banach lattices
cites work: On sums of narrow and compact operators
cites work: Lateral continuity and orthogonally additive operators
cites work: Projection lateral bands and lateral retracts
cites work: Q4069857
cites work: Nonlinear elliptic partial differential equations. An introduction
cites work: A lattice approach to narrow operators
cites work: Q3210426
cites work: On sums of narrow operators on Köthe function spaces
cites work: On the sum of a narrow and a compact operators
cites work: The lateral order on Riesz spaces and orthogonally additive operators
cites work: Domination problem for \(AM\)-compact abstract Uryson operators
cites work: Narrow orthogonally additive operators in lattice-normed spaces
cites work: Domination problem for narrow orthogonally additive operators
cites work: On \(C\)-compact orthogonally additive operators
cites work: Narrow orthogonally additive operators
cites work: On extension of abstract Urysohn operators
cites work: Order unbounded orthogonally additive operators in vector lattices
cites work: Narrow and \(C\)-compact orthogonally additive operators in lattice-normed spaces
cites work: Atomic operators, random dynamical systems and invariant measures
cites work: Horizontal Egorov property of Riesz spaces
cites work: Banach lattices of orthogonally additive operators
cites work: Narrow operators on function spaces and vector lattices
cites work: Bukhvalov type characterizations of Urysohn operators
cites work: Valuations on Banach Lattices
DOI: 10.1007/S43037-021-00158-2
description: scientific article; zbMATH DE number 7450663