Invertible disjointness preserving operators

DOI10.1017/S0013091500018745zbMath0807.47024OpenAlexW2150350574MaRDI QIDQ4289451

Charles B. Huijsmans, Ben de Pagter

Publication date: 5 March 1995

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500018745

zbMATH Keywords

disjointness preservingorder boundeduniformly complete vector lattice

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40)

Related Items

When is a separating map biseparating?, Multiplicative structure of biorthomorphisms and embedding of orthomorphisms, Disjointness preserving maps between vector-valued group algebras, Disjointness preserving operators on normed pre-Riesz spaces: extensions and inverses, Inverses and order boundedness of invertible ideal operators, Order theoretical structures in atomic JBW-algebras: disjointness, bands, and centres, On orthogonally additive band operators and orthogonally additive disjointness preserving operators, Automatic continuity of certain isomorphisms between regular Banach function algebras, Frolík decompositions for lattice-ordered groups, Algebraic Absolutely Invertible Elements in Archimedean Riesz Algebras, A solution to a problem on invertible disjointness preserving operators, Hammerstein Operators Preserving Disjointness, Sums of order bounded disjointness preserving linear operators, Inverses of disjointness preserving operators in finite dimensional pre-Riesz spaces, On band operators, Maximal ideals of disjointness preserving operators, Spectrum of weighted composition operators. VI: Essential spectra of \(d\)-endomorphisms of Banach \(C(K)\)-modules, Inverses of disjointness preserving operators, Inverses and regularity of band preserving operators., Automatic continuity of separating and biseparating isomorphisms

Cites Work

• The inverse of band preserving and disjointness preserving operators
• Automatic Continuity of Separating Linear Isomorphisms
• A Note on Disjointness Preserving Operators
• The order boundedness of band preserving operators on uniformly complete vector lattices
• Orthomorphisms of archimedean vector lattices
• Unnamed Item
• Unnamed Item