Inverses and regularity of band preserving operators.

DOI10.1016/S0019-3577(02)80001-5zbMath1041.47015OpenAlexW1987113878MaRDI QIDQ1866463

Yuri A. Abramovich, Arkady K. Kitover

Publication date: 25 August 2003

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(02)80001-5

zbMATH Keywords

regularityinverseband preserving operatorvector lattice

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) Ordered topological linear spaces, vector lattices (46A40)

Related Items (2)

Sums of disjointness preserving multilinear operators ⋮ Bands in partially ordered vector spaces with order unit

Cites Work

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• Continuous functions that are locally constant on dense sets
• Locally one-dimensional \(K\)-spaces and \(\sigma\)-distributive Boolean algebras
• A Note on Disjointness Preserving Operators
• The order boundedness of band preserving operators on uniformly complete vector lattices
• Invertible disjointness preserving operators
• A solution to a problem on invertible disjointness preserving operators
• Inverses of disjointness preserving operators

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