Riesz representation theorem and weak compactness

DOI10.1007/BF01907466zbMath0457.28003OpenAlexW166029138MaRDI QIDQ1150717

Stephen T. L. Choy

Publication date: 1980

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01907466

zbMATH Keywords

Riesz representation theoremweakly compact operatorsvector-valued function spacesoperator-valued measure

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on function spaces (general) (47B38) Vector-valued measures and integration (46G10) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (1)

Weakly compact operators on function spaces

Cites Work

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• Integral representation of dominated operations on spaces of continuous vector fields
• Linear bounded transformation on the space of continuous functions
• A representation theory of continuous linear maps
• Weak Compactness and Vector Measures
• Linear Operators and Vector Measures
• A Representation Theorem for a Continuous Linear Transformation on a Space of Continuous Functions
• A Riesz Representation Theorem
• A Note on the Riesz Representation Theorem
• Produits tensoriels topologiques et espaces nucléaires

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