Characterizations of weakly compact operators on $C_o(T)$

DOI10.1090/S0002-9947-98-02358-7zbMath0906.47021OpenAlexW1555008895MaRDI QIDQ4211861

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/s0002-9947-98-02358-7

zbMATH Keywords

vector measureweakly compact operatorsinner regularityouter regularityrepresenting measureBaire setsBaire) regularityBorel (resp. \(\sigma\)-Borelquasicomplete locally compact Hausdorff spacequasicomplete locally convex Hausdorff spaceregular Borel extendability of \(\sigma\)-additive \(X\)-valued Baire measures

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Linear operators on function spaces (general) (47B38) Vector-valued measures and integration (46G10)

Related Items (14)

A simple proof of the Grothendieck theorem on the Dieudonné property of $C\textunderscore 0(T)$ ⋮ A Simple Proof of the Borel Extension Theorem and Weak Compactness of Operators ⋮ Unnamed Item ⋮ Integral representation of continuous operators with respect to strict topologies ⋮ Topological properties of the complex vector lattice of bounded measurable functions ⋮ Mackey topologies and compactness in spaces of vector measures ⋮ An Amir-Cambern theorem for subspaces of Banach lattice-valued continuous functions ⋮ Vector measures and Mackey topologies ⋮ Vector measures and strict topologies ⋮ Unnamed Item ⋮ The spectrum of analytic mappings of bounded type ⋮ Baire and $\sigma $-Borel characterizations of weakly compact sets in $M(T)$ ⋮ 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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• Weak Compactness and Vector Measures
• Projections in certain Banach spaces
• On integration in Banach spaces, IV
• Baire and $\sigma $-Borel characterizations of weakly compact sets in $M(T)$
• On complex Radon measures. II
• On Vector Measures
• Regularity of Baire Measures
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

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