The Bartle bilinear integration and Carleman operators

DOI10.1006/JMAA.1999.6575zbMath0951.46021OpenAlexW2092086719MaRDI QIDQ1969987

Francisco J. Freniche, Juan Carlos García-Vázquez

Publication date: 15 August 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6575

zbMATH Keywords

projective tensor productCarleman operatorsinductive tensor productBartle integral

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Spaces of operators; tensor products; approximation properties (46B28) Vector-valued measures and integration (46G10) Tensor products in functional analysis (46M05)

Related Items (3)

On integration of vector functions with respect to vector measures ⋮ Joint continuity of injective tensor products of vector measures in Banach lattices ⋮ Spaces of vector functions that are integrable with respect to vector measures

Cites Work

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• Product vector measures via Bartle integrals
• Operators into \(L^ 1\) of a vector measure and applications to Banach lattices
• A generalization of a theorem of Duchon on products of vector measures
• Sur les opérateurs linéaires qui transforment la boule unite d'un espace de Banach en une partie latticiellement bornee d'un espace de Banach reticule
• Integration with respect to vector measures
• Conditional weak compactness in certain inductive tensor products
• A general bilinear vector integral
• Order bounded operators and tensor products of Banach lattices.
• Products and convolutions of vector valued set functions

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