Extension and factorization of Riesz \(n\)-morphisms on pre-Riesz spaces

DOI10.1016/j.jmaa.2021.125767zbMath1484.46023OpenAlexW3205917620MaRDI QIDQ2059942

Zalina Kusraeva, Anke Kalauch

Publication date: 13 December 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125767

zbMATH Keywords

factorizationuniversal completionRiesz completionpre-Riesz spaceRiesz \(n\)-morphismvan Haandel's extension

Mathematics Subject Classification ID

Banach lattices (46B42) (Spaces of) multilinear mappings, polynomials (46G25) Positive linear operators and order-bounded operators (47B65)

Cites Work

• Tensor products of Archimedean partially ordered vector spaces
• Polynomials on Banach lattices and positive tensor products
• Sums of disjointness preserving multilinear operators
• Factorization of positive multilinear maps
• Some aspects of Riesz multimorphisms
• Powers of quasi-Banach lattices and orthogonally additive polynomials
• Lattice bimorphisms on \(f\)-algebras.
• Pre-Riesz spaces
• Sums of order bounded disjointness preserving linear operators
• Operators in pre-Riesz spaces: moduli and homomorphisms
• Tensor products of Banach lattices
• Maximal ideals of disjointness preserving operators
• Ordered linear spaces
• A Characterization of Rieszn-Morphisms and Applications
• Multiplicative Representation of Real-Valued bi-Riesz Homomorphisms on Partially Ordered Vector Spaces
• Vector Lattice Powers:f-Algebras and Functional Calculus
• Tensor Products of Archimedean Vector Lattices
• Squares of Riesz spaces
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