Application of a theorem of Grothendieck to vector measures

DOI10.1006/jmaa.1997.5589zbMath0892.28009OpenAlexW2089572920MaRDI QIDQ1378660

T. V. Panchapagesan

Publication date: 15 July 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5589

zbMATH Keywords

vector measurelocally convex spacerepresenting measurering of subsetsrange theorems

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items

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 ⋮ Absolutely continuous operators on function spaces and vector measures ⋮ Integral representation of continuous operators with respect to strict topologies ⋮ Spectral homomorphisms on a locally convex algebra \(C_b(X)\) ⋮ Weakly compact operators and strict topologies ⋮ Topological properties of the complex vector lattice of bounded measurable functions ⋮ Strict and Mackey topologies and tight vector measures ⋮ Mackey topologies and compactness in spaces of vector measures ⋮ Vector measures and Mackey topologies ⋮ Vector measures and strict topologies ⋮ Unnamed Item ⋮ Compactness and sequential completeness in some spaces of operators ⋮ A Borel extension approach to weakly compact operators on C 0(T)

Cites Work

• Weak Compactness and Vector Measures
• Weak compactness in locally convex spaces
• The range of a vector-valued measure
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item