Extension of Vector-Lattice Homomorphisms

DOI10.2307/2043244zbMath0441.47046OpenAlexW4243598687MaRDI QIDQ3883043

Zbigniew Lipecki

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2043244

zbMATH Keywords

positive operatorvector latticevector-lattice homomorphism

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 (11)

Extension properties of order continuous functionals and applications to the theory of Banach lattices ⋮ Laterally closed lattice homomorphisms ⋮ Subjective expected utility with a spectral state space ⋮ Affine representations of \(\ell\)-groups and MV-algebras ⋮ On extensions of compact positive operators on Banach lattices ⋮ Sums and extensions of vector lattice homomorphisms ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ Extensions of orthosymmetric lattice bimorphisms ⋮ Unnamed Item ⋮ Erased Kantorovich spaces ⋮ Majorizing-injectivity in Abelian lattice-ordered groups

Cites Work

• Extensions of positive operators and extreme points. I
• Extensions of positive operators and extreme points. II

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