A simple proof of the Grothendieck theorem on the Dieudonné property of $C\textunderscore 0(T)$

DOI10.1090/S0002-9939-00-05612-4zbMath0966.47020OpenAlexW1530873302MaRDI QIDQ4523207

T. V. Panchapagesan

Publication date: 8 January 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05612-4

zbMATH Keywords

Grothendieck theoremlocally compact Hausdorff spacedual spacesbounded measurable functions\(m\)-integrabilityDiedonné propertyfinite Baire class

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) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fortsetzung von Maßen mit Werten in uniformen Halbgruppen
• Application of a theorem of Grothendieck to vector measures
• On a theorem of Orlicz and Pettis
• Weak Compactness and Vector Measures
• Baire and $\sigma $-Borel characterizations of weakly compact sets in $M(T)$
• Characterizations of weakly compact operators on $C_o(T)$
• A Simple Proof of the Borel Extension Theorem and Weak Compactness of Operators
• Outer Measures with Values in a Topological Group
• On Vector Measures
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

This page was built for publication: A simple proof of the Grothendieck theorem on the Dieudonné property of $C\textunderscore 0(T)$