On dominated extension of linear operators

DOI10.1134/S0001434620070184OpenAlexW3047482432MaRDI QIDQ2197247

A. A. Gelieva, Zalina Kusraeva

Publication date: 31 August 2020

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

Full work available at URL: https://doi.org/10.1134/s0001434620070184

zbMATH Keywords

normal coneseparabilitylinear operatoraxiom of countable choiceordered topological vector spacereproducing cone\( \sigma \)-interpolation propertydominated extension

Mathematics Subject Classification ID

Operator theory (47-XX) General topology (54-XX)

Related Items (1)

Regularity of continuous multilinear operators and homogeneous polynomials

Cites Work

• Hahn-Banach-Kantorovich type theorems with the range space not necessarily \((O)\)-complete
• Countable choice and pseudometric spaces
• Extension theorems and the Riesz decomposition property
• Spaces of operators with the Riesz separation property
• A New Proof of the Equivalence of the Hahn-Banach Extension and the Least Upper Bound Properties
• THE REGULARITY OF ORDER BOUNDED OPERATORS INTO C (K), II
• The Riesz decomposition property for the space of regular operators
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