The summing nature of the multiplication operator from \(l_{p}\left( \mathcal {X}\right) \) into \( c_{0}\left( \mathcal {Y}\right) \)

DOI10.1007/S13398-016-0370-7OpenAlexW2570603335MaRDI QIDQ683612

Dumitru Popa, Gabriela Badea

Publication date: 8 February 2018

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-016-0370-7

zbMATH Keywords

multiplication operatoraverage\(p\)-summing linear operatorscotype of a Banach space

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Banach sequence spaces (46B45) Operator ideals (47L20)

Related Items (4)

A permanence property for dominated multilinear operators ⋮ Mixing multiplication operators ⋮ Swartz type results for nuclear and multiple 1-summing bilinear operators on \(c_0(\mathcal {X})\times c_0(\mathcal {Y})\) ⋮ Cohen summing multilinear multiplication operators

Cites Work

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• Tensor product mappings
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• 2-summing operators on l_2(x)
• Absolut p-summierende Abbildungen in normierten Räumen
• Absolutely Summing and Dominated Operators on Spaces of Vector-Valued Continuous Functions

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