Orthomorphisms of archimedean vector lattices

DOI10.1017/S030500410005800XzbMath0463.46002MaRDI QIDQ3913873

S. J. Bernau

Publication date: 1981

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

zbMATH Keywords

Jordan decompositionorthomorphismsorder bounded disjointness preserving linear operator

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items

Invertible disjointness preserving operators, The inverse of band preserving and disjointness preserving operators, Sums and extensions of vector lattice homomorphisms, An alternative proof of a Radon-Nikodým theorem for lattice homomorphisms, Some remarks on disjointness preserving operators, Representations of Archimedean Riesz spaces by continuous functions, Commutativity of some Archimedean ordered algebras., The Wickstead problem on Dedekind \(\sigma \)-complete vector lattices, Sums of Lattice Homomorphisms, Order-bounded operators in vector lattices and in spaces of measurable functions, Polar decomposition of order bounded disjointness preserving operators, Spectrum of weighted composition operators. VI: Essential spectra of \(d\)-endomorphisms of Banach \(C(K)\)-modules, THE RANGE OF AN ORTHOMORPHISM

Cites Work

• Multiplication operators
• Unique Representation of Archimedean Lattice Groups and Normal Archimedean Lattice Rings
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