A theorem of Riesz type with Pettis integrals in topological vector spaces

DOI10.1016/J.JMAA.2007.09.005zbMath1152.46031OpenAlexW1980328472MaRDI QIDQ2470478

Lakhdar Meziani

Publication date: 14 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.09.005

zbMATH Keywords

Riesz representation theoremintegral representationbounded operatorsPettis integrals

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) Measures and integration on abstract linear spaces (46G12) Representation theory of linear operators (47A67) Topological linear spaces and related structures (46A99)

Related Items (1)

Integral representations for a class of operators

Cites Work

• A representation theory of continuous linear maps
• Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
• Integral representation for a class of vector valued operators
• Weak Compactness and Vector Measures
• Linear Operators and Vector Measures
• A Riesz Representation Theorem
• On representation of linear operators on $C_0(T,{\bf X})$
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