Sums and extensions of vector lattice homomorphisms

DOI10.1007/BF00046634zbMath0788.47027OpenAlexW4253214794MaRDI QIDQ685139

S. J. Bernau

Publication date: 30 September 1993

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00046634

zbMATH Keywords

Dedekind completeorthomorphismsextensions of vector lattice homomorphismsorder bounded linear operatorssums of lattice homomorphismstheorems of Hahn-Banach type

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40)

Related Items (1)

Sums of disjointness preserving multilinear operators

Cites Work

• Extensions of positive operators and extreme points. I
• Extensions of positive operators and extreme points. II
• Extensions of positive operators and extreme points. III
• Extensions of positive operators and extreme points. IV
• Extension of Vector-Lattice Homomorphisms
• Orthomorphisms of archimedean vector lattices
• A New Proof of the Lattice Structure of Orthomorphisms
• Sums of Lattice Homomorphisms
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