Order convergence structure onC(X)

DOI10.2989/16073600509486139zbMath1094.46004OpenAlexW2011523859MaRDI QIDQ3371510

Jan Harm van der Walt, Roumen Anguelov

Publication date: 21 February 2006

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

Full work available at URL: https://doi.org/10.2989/16073600509486139

zbMATH Keywords

convergence spacecompletionorder convergence

Mathematics Subject Classification ID

Lattices of continuous, differentiable or analytic functions (46E05) 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) Ordered topological linear spaces, vector lattices (46A40)

Related Items (18)

Algebraic and topological structure of some spaces of set-valued maps ⋮ Product ordered Hausdorff continuous \(\mathbb{R}^n\)-interval functions ⋮ Unnamed Item ⋮ Vector-valued interval functions and the Dedekind completion of \(C(X,E)\) ⋮ Net convergence structures with applications to vector lattices ⋮ Hausdorff continuous interval-valued functions and quasicontinuous functions ⋮ The universal completion of \(C(X)\) and unbounded order convergence ⋮ Differential chain of algebras of generalized functions ⋮ Convergence of sequences of semi-continuous functions ⋮ The Brezis-Lieb lemma in convergence vector lattices ⋮ The order completion method for systems of nonlinear PDEs: pseudo-topological perspectives ⋮ Solutions of smooth nonlinear partial differential equations ⋮ Full lattice convergence on Riesz spaces ⋮ The order convergence structure ⋮ The set of Hausdorff continuous functions -- the largest linear space of interval functions ⋮ The convergence space of minimal USCO mappings ⋮ The order completion method for systems of nonlinear PDEs revisited ⋮ A closed graph theorem for order bounded operators

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