The Lipschitz injective hull of Lipschitz operator ideals and applications

DOI10.1007/s43037-020-00060-3zbMath1458.47039OpenAlexW3013333282WikidataQ114216124 ScholiaQ114216124MaRDI QIDQ778780

Pablo Turco, Dahmane Achour, Elhadj Dahia

Publication date: 20 July 2020

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43037-020-00060-3

zbMATH Keywords

injective hull of operator idealsLipschitz operator idealsquasi \(p\)-nuclear operators

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Operator ideals (47L20) Nonlinear operators and their properties (47H99)

Related Items

Two-Lipschitz operator ideals

Cites Work

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• Lipschitz \(p\)-integral operators and Lipschitz \(p\)-nuclear operators
• Maximal Banach ideals of Lipschitz maps
• \((p,\sigma)\)-absolutely Lipschitz operators
• On embedding uniform and topological spaces
• Lipschitz operator ideals and the approximation property
• Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals
• Compact operators whose adjoints factor through subspaces of l_p
• A survey on Lipschitz-free Banach Spaces
• Lipschitz $p$-summing operators
• Operators whose adjoints are quasi p-nuclear
• Multilinear mixing operators and Lipschitz mixing operator ideals
• p-nukleare und p-integrale Abbildungen in Banachräumen
• Injektive Operatorenideale über der Gesamtheit aller Banachräume und ihre topologische Erzeugung