A closed graph theorem for order bounded operators

DOI10.2989/16073606.2015.1068235zbMath1423.46006OpenAlexW2291485908MaRDI QIDQ5233911

Jan Harm van der Walt

Publication date: 9 September 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2263/51637

zbMATH Keywords

closed graph theoremconvergence vector spacevector latticeorder bounded operator

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Ordered topological linear spaces, vector lattices (46A40)

Related Items (2)

Net convergence structures with applications to vector lattices ⋮ Full lattice convergence on Riesz spaces

Cites Work

• The order convergence structure
• Continuous convergence and functional analysis
• Double closed-graph theorem for topological linear spaces
• Completeness and the open mapping theorem
• On continuity of inverse operators
• Order convergence structure onC(X)
• Continuous convergence and the closed-graph theorem
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