Examples of summing, integral and nuclear operators on the space \(C([0,1],X)\) with values in \(C_{0}\)

DOI10.1016/J.JMAA.2006.09.028zbMath1116.47019OpenAlexW1967743934MaRDI QIDQ878455

Dumitru Popa

Publication date: 26 April 2007

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.2006.09.028

zbMATH Keywords

tensor productsoperator idealsBanach spaces of continuous functions\(p\)-summing operatorsnuclear operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Vector-valued measures and integration (46G10)

Related Items (7)

Operator-valued operators that are associated to vector-valued operators ⋮ 2-summing operators on \(C([0, 1, l_p\)) with values in \(l_{1}\)] ⋮ Absolutely \((r,q)\)-summing operators on vector-valued function spaces ⋮ A multilinear variant of the Saphar theorem for the gauche tensor norm ⋮ The summing nature of the multiplication operator from \(l_{p}\left( \mathcal {X}\right) \) into \( c_{0}\left( \mathcal {Y}\right) \) ⋮ Cohen summing multilinear multiplication operators ⋮ Remarks on multiple summing operators on \(C(\Omega)\)-spaces

Cites Work

• \((r,p)\)-absolutely summing operators on the space \(C(T,X)\) and applications.
• 2-absolutely summing operators on the space \(C(T,X)\)
• Measures with bounded variation with respect to a normed ideal of operators and applications
• Linear bounded transformation on the space of continuous functions
• Weakly compact, unconditionally converging, and Dunford-Pettis operators on spaces of vector-valued continuous functions
• Integral Operators on Spaces of Continuous Vector-Valued Functions
• Nuclear operators on spaces of continuous vector-valued functions
• p-Summing operators on injective tensor products of spaces
• Diagonal mappings between sequence spaces
• Linear Operators and Vector Measures
• Absolutely Summing and Dominated Operators on Spaces of Vector-Valued Continuous Functions
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