Techniques to generate hyper-ideals of multilinear operators

DOI10.1080/03081087.2016.1233934zbMath1460.47046OpenAlexW2521742955MaRDI QIDQ2979499

Ewerton R. Torres, Geraldo Botelho

Publication date: 25 April 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2016.1233934

zbMATH Keywords

Banach spacesmultilinear operatorshyper-ideals\(\mathcal{I}\)-bounded sets

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Spaces of) multilinear mappings, polynomials (46G25) Operator ideals (47L20) Ideals of polynomials and of multilinear mappings in operator theory (47L22)

Related Items (5)

Summing multilinear operators by blocks: the isotropic and anisotropic cases ⋮ Two-sided polynomial ideals on Banach spaces ⋮ Multipolynomials: an almost symmetrical approach ⋮ Coherence and compatibility: a stronger approach ⋮ Hyper-ideals of multilinear operators and two-sided polynomial ideals generated by sequence classes

Cites Work

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• Almost \(p\)-summing polynomials and multilinear mappings
• Minimal ideals of \(n\)-homogeneous polynomials on Banach spaces

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