Integration on locally compact spaces generated by positive linear functionals defined on the spaceof continuous functions with compact supportand the Riesz representation theorem, I

DOI10.3792/pja/1195521800zbMath0154.39502OpenAlexW1974225569MaRDI QIDQ5535335

Witold M. Bogdanowicz

Publication date: 1966

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195521800

zbMATH Keywords

functional analysis

Mathematics Subject Classification ID

Functional analysis (46-XX)

Related Items (1)

Representations of linear continuous functionals on the space $C\left( {X,Y} \right)$ of continuous functions fromcompact $X$ into locally convex $Y$

Cites Work

• An approach to the theory of Lebesgue-Bochner measurable functions and to the theory of measure
• An approach to the theory of integration generated by Daniell functionals and representations of linear continuous functionals
• An approach to the theory of integration and theory of Lebesgue-Bochner measurable functions on locally compact spaces
• A GENERALIZATION OF THE LEBESGUE-BOCHNER-STIELTJES INTEGRAL AND A NEW APPROACH TO THE THEORY OF INTEGRATION
• An approach to the theory of integration generated by positive linear functionals and existence of minimal extensions
• Relations between complete integral seminorms and complete volumes
• Integral representation of multilinear continuous operators from the space of Lebesgue-Bochner summable functions into any Banach space
• ON VOLUMES GENERATING THE SAME LEBESGUE-BOCHNER INTEGRATION
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