Lipschitz 𝑝-summing multilinear operators correspond to Lipschitz 𝑝-summing operators

DOI10.1090/proc/16115OpenAlexW4293768544WikidataQ114094147 ScholiaQ114094147MaRDI QIDQ5049325

Maite Fernández-Unzueta

Publication date: 11 November 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01775

zbMATH Keywords

multilinear operatorLipschitz \(p\)-summingHilbert-Schmidt multiline operatorsPietsch dominationSegre cone of Banach spaces

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Multilinear and polynomial operators (47H60) Nonlinear functional analysis (46T99) Ideals of polynomials and of multilinear mappings in operator theory (47L22)

Cites Work

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• A unified Pietsch domination theorem
• Lipschitz \(p\)-summing multilinear operators
• The duality between ideals of multilinear operators and tensor norms
• Spaces of continuous functions on compact sets
• Lipschitz $p$-summing operators
• Nonlinear absolutely summing mappings
• Lipschitz Algebras
• The Segre cone of Banach spaces and multilinear mappings

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