On uniformly differentiable mappings from \(\ell_\infty(\Gamma)\)

DOI10.1016/j.jmaa.2016.02.043zbMath1354.46069arXiv1503.03536OpenAlexW2291050669MaRDI QIDQ266448

Eva Pernecká, Petr Hájek

Publication date: 13 April 2016

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

Full work available at URL: https://arxiv.org/abs/1503.03536

zbMATH Keywords

\(\ell_\infty({\Gamma})\)smooth operator

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Continuous and differentiable maps in nonlinear functional analysis (46T20)

Cites Work

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• Extracting long basic sequences from systems of dispersed vectors
• Smooth noncompact operators from \(C(K)\), \(K\) scattered
• Smooth functions on \(c_0\)
• Extensions of smooth mappings into biduals and weak continuity
• Banach space theory. The basis for linear and nonlinear analysis
• Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
• Smooth analysis in Banach spaces
• On relatively disjoint families of measures, with some applications to Banach space theory
• Biorthogonal systems in Banach spaces