On approximation in weighted spaces of continuous vector-valued functions

DOI10.1017/S0017089500006662zbMath0608.46020OpenAlexW2099411116MaRDI QIDQ3748760

Liaqat Ali Khan

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1017/s0017089500006662

zbMATH Keywords

completely regular Hausdorff spaceadmissible spaceHausdorff topological vector spacefinite covering dimensionNachbin familylocally bounded spaceupper semi- continuous functionscontinuous vector-valued functions

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Spaces of vector- and operator-valued functions (46E40) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (3)

Some approximation results for the compact-open topology ⋮ Weighted composition operators on nonlocally convex weighted spaces of continuous functions ⋮ On the weighted function space \(CV_0 (X,E)\) in the non-Archimedean setting

Cites Work

• Shrinkable neighborhoods in Hausdorff linear spaces
• Leray-Schauder theory without local convexity
• Weighted approximation for algebras and modules of continuous functions. Real and self-adjoint complex cases
• Bishop's generalized Stone-Weierstraß theorem for weighted spaces
• The general complex bounded case of the strict weighted approximation problem
• The strict topology on a space of vector-valued functions
• On the strict topology in the non-locally convex setting
• Approximation of Vector-Valued Continuous Functions

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