Smooth functions on \(C(K)\)

DOI10.1007/BF02764011zbMath0921.46020OpenAlexW2057577212MaRDI QIDQ1275691

Petr Hájek

Publication date: 13 January 1999

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764011

zbMATH Keywords

existence of \(C^2\)-Fréchet smooth surjectionsFréchet differentiable real functionlocally compact derivativelocally uniformly continuous derivative

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (6)

Analytic norms in Orlicz spaces ⋮ Extensions of smooth mappings into biduals and weak continuity ⋮ Smooth noncompact operators from \(C(K)\), \(K\) scattered ⋮ Polynomial algebras and smooth functions in Banach spaces ⋮ Compact factorization of differentiable mappings ⋮ Weakly sequentially continuous differentiable mappings

Cites Work

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• Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
• Polynomials in many variables: Real vs complex norms
• Smooth functions on \(c_0\)
• On smooth, nonlinear surjections of Banach spaces
• Spaces of continuous functions (IV). (On isomorphical classification of spaces of continuous functions).
• A counterexample to several questions about Banach spaces
• Smooth bump functions and geomentry of Banach spaces
• Some more Banach spaces which contain l¹

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