The inverse of band preserving and disjointness preserving operators

DOI10.1016/0019-3577(92)90006-7zbMath0787.47031OpenAlexW2083979422MaRDI QIDQ1196260

S. Singh

Publication date: 15 December 1992

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

Full work available at URL: https://doi.org/10.1016/0019-3577(92)90006-7

zbMATH Keywords

positive operatorArchimedean vector latticeRiesz homomorphismprincipal projection propertyband preserving inversebijective and band preserving operatorrelatively uniformly complete

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40)

Related Items (9)

Boolean-valued analysis of order-bounded operators ⋮ Invertible disjointness preserving operators ⋮ Disjointness preserving operators on normed pre-Riesz spaces: extensions and inverses ⋮ Inverses and order boundedness of invertible ideal operators ⋮ On orthogonally additive band operators and orthogonally additive disjointness preserving operators ⋮ A solution to a problem on invertible disjointness preserving operators ⋮ On band operators ⋮ Logarithmic submajorisation and order-preserving linear isometries ⋮ Inverses and regularity of band preserving operators.

Cites Work

• Banach lattices
• Order completeness and disjoint completeness of linear partially ordered spaces
• A Note on Disjointness Preserving Operators
• The order boundedness of band preserving operators on uniformly complete vector lattices
• Orthomorphisms of archimedean vector lattices
• Lateral and Dedekind Completion of Archimedean Lattice Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The inverse of band preserving and disjointness preserving operators