Weak and Pointwise Compactness in the Space of Bounded Continuous Functions
DOI10.2307/1998437zbMath0477.46016OpenAlexW4246098146MaRDI QIDQ3934970
Publication date: 1981
Full work available at URL: https://doi.org/10.2307/1998437
completely regular Hausdorff spaceMartin's axiompointwise compactnessangelicPettis integrability of Banach space valued functionsseparable measurespace of net additive Baire measuresspace of separable Baire measuresspace of tight Baire measures
Spaces of measures, convergence of measures (28A33) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Realcompactness and realcompactification (54D60) Spaces of measures (46E27) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15) Compactness in topological linear spaces; angelic spaces, etc. (46A50)
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- A note on the Mackey topology for (C\(^b(X)^*\), C\(^b\)(X))
- Weak compactness and separate continuity
- Pointwise compactness and measurability
- Separate continuity and joint continuity
- On pointwise convergence, compactness, and equicontinuity. II
- Pointwise compact sets of measurable functions
- On compactness and convergence in spaces of measures
- Espaces de fonctions continues
- Some new results on weak compactness
- Topological measure theory for completely regular spaces and their projective covers
- A decomposition theorem for additive set-functions with applications to Pettis integrals and ergodic means
- Linear functionals and partitions of unity in C\(_b\)(X)
- Pointwise compactness in spaces of functions and R. C. James theorem
- Convergence on filters and simple equicontinuity
- The strict topology, separable measures, and paracompactness
- Extensions of zero-sets and of real-valued functions
- Šmulian-Eberlein spaces
- Concerning spaces of continuous functions
- The Weak Topology of a Banach Space
- On Perfect Measures
- Complete Topologies on Spaces of Baire Measure
- Some results involving weak compactness in C(X), C(υX) and C(X)′
- Weak Compactness and Tightness of Subsets of $M(X)$.
- A Locally Compact Nonparacompact Space for Which the Strict Topology is Mackey
- On separable z-filters
- On Compactness and Sequential Compactness
- On the Topological Completion
- A compact space having the cardinality of the continuum with no convergent sequences
- Spaces in Which Special Sets are z-Embedded
- On μ-Spaces and k R -Spaces
- Point-Wise Compact Subsets of the First Baire Class
- On measurability, pointwise convergence and compactness
- The Strict Topology for P-Spaces
- On the Existence of Normal Metacompact Moore Spaces which are not Metrizable
- On Baire measures on D-topological spaces
- Convergence of Baire measures
- On perfect measures
- Measures on Topological Spaces
- The Additivity of Measures on Completely Regular Spaces
- On Two Questions of Moore and Mrowka
- On a certain class of $\Lambda$-structures. II
- Measures on Metacompact Spaces
- On Compactness in Function Spaces
- A Device Of R. J. Whitley's Applied to Pointwise Compactness in Spaces of Continuous Functions
- Bounded Measures on Topological Spaces
- Bounded Continuous Functions on a Completely Regular Space
- Topologies on spaces of Baire measures
- Criteres de Compacite dans les Espaces Fonctionnels Generaux
- Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)