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Ranges of operators and derivatives

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Publication:961074
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DOI10.1016/j.jmaa.2009.12.010zbMath1202.46021OpenAlexW2083974097MaRDI QIDQ961074

Vicente Montesinos Santalucía, Petr Hájek, Antonio J. Guirao

Publication date: 29 March 2010

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

Full work available at URL: http://hdl.handle.net/10251/150314


zbMATH Keywords

Martin's axiomFréchet smoothnesssurjective mappings


Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Nonseparable Banach spaces (46B26) Continuous and differentiable maps in nonlinear functional analysis (46T20)


Related Items (3)

Smooth surjections without surjective restrictions ⋮ A remark on smooth images of Banach spaces ⋮ Restricting open surjections




Cites Work

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  • Smooth functions on \(c_0\)
  • On smooth, nonlinear surjections of Banach spaces
  • On the range of the derivatives of a smooth function between Banach spaces
  • Biorthogonal systems in Banach spaces
  • James' theorem fails for starlike bodies
  • Functional analysis and infinite-dimensional geometry




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