Every Banach ideal of polynomials is compatible with an operator ideal

DOI10.1007/s00605-010-0255-3zbMath1236.47062arXiv1009.1064OpenAlexW3104474433MaRDI QIDQ663342

Verónica Dimant, Santiago Muro, Daniel Carando

Publication date: 14 February 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1064

zbMATH Keywords

polynomial ideals: operator ideals

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Multilinear and polynomial operators (47H60) Operator ideals (47L20)

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Cites Work

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• Holomorphic functions and polynomial ideals on Banach spaces
• Two new properties of ideals of polynomials and applications
• Ultrastability of ideals of homogeneous polynomials and multilinear mappings on Banach spaces
• Coherent sequences of polynomial ideals on Banach spaces
• Holomorphy types and ideals of multilinear mappings
• Holomorphy types on a Banach spaces
• Minimal ideals of \(n\)-homogeneous polynomials on Banach spaces
• Weakly compact and absolutely summing polynomials.