Several order projectors generated by ideals of a vector lattice

DOI10.1007/BF02106839zbMath0877.47021MaRDI QIDQ1920867

E. V. Kolesnikov

Publication date: 8 December 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

positive operatorDedekind complete vector latticeorder continuous component

Mathematics Subject Classification ID

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

Related Items (5)

In the shadow of a positive operator ⋮ Disjointness and order projections in the vector lattices of abstract Uryson operators ⋮ Diffuse and atomic components of a positive operator ⋮ On a band generated by a disjointness preserving orthogonally additive operator ⋮ Disjointness-preserving orthogonally additive operators in vector lattices

Cites Work

• Order-continuous component of a majorized operator
• Extension properties of order continuous functionals and applications to the theory of Banach lattices
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