Separability in function spaces

DOI10.1016/0022-247X(86)90334-3zbMath0603.46032OpenAlexW2015925593MaRDI QIDQ1082580

Liaqat Ali Khan

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(86)90334-3

zbMATH Keywords

completely regular Hausdorff spacesubstrict topologylocally bounded spacecompact-open topologiesseparably submetrizableshrinkable neighbourhoodvector-valued continuous 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 (2)

Some approximation results for the compact-open topology ⋮ Davie's type uniqueness for a class of SDEs with jumps

Cites Work

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• Bounded continuous functions on a locally compact space
• Shrinkable neighborhoods in Hausdorff linear spaces
• Separability in the strict topology
• Topologies on spaces of vector-valued continuous functions. II
• The strict topology on a space of vector-valued functions
• On the strict topology in the non-locally convex setting
• Stone-Weierstrass Theorems for the Strict Topology
• Bounded Measures on Topological Spaces
• Bounded Continuous Functions on a Completely Regular Space
• Approximation of Vector-Valued Continuous Functions
• Separability in the Strict and Substrict Topologies
• Strict Topologies for Vector-Valued Functions

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