The finest Nachbin topology is a mixed topology

DOI10.1007/BF01185196zbMath0551.46014MaRDI QIDQ801246

C. H. Cook

Publication date: 1984

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154992

zbMATH Keywords

completely regular Hausdorff spacedual spaceweighted spacemixed topologybounded Prohorov setsfinest Nachbin topologyNachbin familyspace of all finite Radon measuresstrongest weighted topologysubstrict topologyuniformly tight subsets

Mathematics Subject Classification ID

Spaces of measures, convergence of measures (28A33) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Duality theory for topological vector spaces (46A20) Spaces of measures (46E27) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Cites Work

• Bounded continuous functions on a locally compact space
• Strict, weighted, and mixed topologies and applications
• Weighted approximation over topological spaces and the Bernstein problem over finite dimensional vector spaces
• Linear functionals on spaces of continuous functions
• TOPOLOGICAL VECTOR SPACES OF CONTINUOUS FUNCTIONS
• Unnamed Item