Extension of positive operators

DOI10.1134/S0037446620020081zbMath1445.47031OpenAlexW3034233925MaRDI QIDQ2191359

K. Yu. Ilina, Zalina Kusraeva

Publication date: 24 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0037446620020081

zbMATH Keywords

separabilitycountable choicepositive operatortopological vector latticeFréchet latticemonotone extension\(\sigma\)-interpolation property

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Lattices of continuous, differentiable or analytic functions (46E05) Ordered topological linear spaces, vector lattices (46A40)

Related Items

On Extension of Positive Multilinear Operators, On extension of positive multilinear operators, Regularity of continuous multilinear operators and homogeneous polynomials

Cites Work

• Hahn-Banach-Kantorovich type theorems with the range space not necessarily \((O)\)-complete
• Banach lattices
• Continuity of sublinear operators on F-spaces
• Countable choice and pseudometric spaces
• Extension theorems and the Riesz decomposition property
• THE REGULARITY OF ORDER BOUNDED OPERATORS INTO C (K), II
• The Riesz decomposition property for the space of regular operators
• Axiom of choice
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