Baire and $\sigma $-Borel characterizations of weakly compact sets in $M(T)$

DOI10.1090/S0002-9947-98-02359-9zbMath0946.28008OpenAlexW10236459MaRDI QIDQ4211860

T. V. Panchapagesan

Publication date: 8 October 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02359-9

zbMATH Keywords

weakly compact setsuniform \(\sigma\)-additivitybounded complex Radon measuresuniform \(\sigma\)-Borel inner regularityuniform Baire inner regularityuniform Borel inner regularity

Mathematics Subject Classification ID

Spaces of measures, convergence of measures (28A33) 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)

Related Items (5)

A simple proof of the Grothendieck theorem on the Dieudonné property of $C\textunderscore 0(T)$ ⋮ Integral representation of continuous operators with respect to strict topologies ⋮ Characterizations of weakly compact operators on $C_o(T)$ ⋮ Integration with respect to Baire vector measures with applications to the spectral theory ⋮ A Borel extension approach to weakly compact operators on C 0(T)

Cites Work

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• L'intégration par rapport à une mesure de Radon vectorielle
• Weak Compactness and Vector Measures
• Characterizations of weakly compact operators on $C_o(T)$
• On complex Radon measures. II
• On Vector Measures
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

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