Regular-norm balls can be closed in the strong operator topology

DOI10.1023/A:1009743831883zbMath0911.46002OpenAlexW1520780134MaRDI QIDQ1380680

D. Massart

Publication date: 11 March 1998

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009743831883

zbMATH Keywords

L-spacepositive operatorstrong operator topologymultiplication operatorscompact-friendly operatorsspace of all regular operatorsDedekind complete Banach latticeFatou normFatou-Levi norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40)

Related Items (5)

Orthogonally Additive Operators on Vector Lattices ⋮ Banach lattices of orthogonally additive operators ⋮ The Radon--Nikodym property for tensor products of Banach lattices ⋮ Vector lattices of weakly compact operators on Banach lattices ⋮ Schauder decompositions and the Fremlin projective tensor product of Banach lattices

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