Directedness in ordered normed spaces and operators

DOI10.1007/BF01450804zbMath0493.46022OpenAlexW2058713470MaRDI QIDQ1168554

Michel Duhoux, Ng Kung-fu

Publication date: 1981

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163512

zbMATH Keywords

approximate identityC* algebraspace of compact operatorsHermitian elementsadditivity of the norm on the closed coneapproximate order-unitdirectedness properties of certain operator spacesl1-majorized propertyoperators between partially ordered normed spacesorder unit normed spacespace of precompact operatorsstrong version of the directedness property in a partially ordered normed space

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators on ordered spaces (47B60) Convex sets and cones of operators (47L07)

Cites Work

• Decomposition of Precompact Operators in Ordered Locally Convex Spaces
• The Duality of Ordered Locally Convex Spaces
• Spaces of Linear Operators between Partially Ordered Banach Spaces
• Linear Operators in Partially Ordered Normed Vector Spaces
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