Type and cotype of multilinear operators

DOI10.1007/s13163-016-0195-0zbMath1385.47026arXiv1502.00440OpenAlexW1497638534MaRDI QIDQ321248

Geraldo Botelho, Jamilson Ramos Campos

Publication date: 13 October 2016

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00440

zbMATH Keywords

cotypetypeoperator idealsAron-Berner extensionsmulti-ideals

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Ideals of polynomials and of multilinear mappings in operator theory (47L22)

Related Items (3)

Summing multilinear operators by blocks: the isotropic and anisotropic cases ⋮ An anisotropic summability and mixed sequences ⋮ Hyper-ideals of multilinear operators and two-sided polynomial ideals generated by sequence classes

Cites Work

• Summability of multilinear mappings: Littlewood, Orlicz and beyond
• Coincidence of extendible vector-valued ideals with their minimal kernel
• On operator valued sequences of multipliers and \(R\)-boundedness
• On composition ideals of multilinear mappings and homogeneous polynomials
• Smoothness and estimates of sequences in Banach spaces
• On the transformation of vector-valued sequences by linear and multilinear operators
• Asymptotic structure, \(\ell_p\)-estimates of sequences, and compactness of multilinear mappings
• Comparing different classes of absolutely summing multilinear operators
• Ultrastability of ideals of homogeneous polynomials and multilinear mappings on Banach spaces
• Absolutely summing multilinear operators: a panorama
• Uniform approximation on ideals of multilinear mappings
• A Hahn-Banach extension theorem for analytic mappings
• A Theorem on Polynomial-Star Approximation
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