The strict topology on a space of vector-valued functions

DOI10.1017/S0013091500027784zbMath0429.46023MaRDI QIDQ3866655

Liaqat Ali Khan

Publication date: 1979

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Stone-Weierstrass theoremstrict topologyk-spacespace of vector-valued functionsArzela-Ascoli's theoremcompletely regular space of finite covering dimension

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

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Cites Work

• Bounded continuous functions on a locally compact space
• Bounded continuous vector-valued functions on a locally compact space
• Bishop's generalized Stone-Weierstraß theorem for weighted spaces
• Some Locally Convex Spaces of Continuous Vector-Valued Functions Over a Completely Regular Space and Their Duals
• Stone-Weierstrass Theorems for the Strict Topology
• A Generalization of the Strict Topology
• Bounded Continuous Functions on a Completely Regular Space
• Approximation of Vector-Valued Continuous Functions
• The $\sigma$-Compact-Open Topology and its Relatives.
• A Generalization of the Strict Topology.
• Strict Topologies for Vector-Valued Functions