On smooth, nonlinear surjections of Banach spaces

DOI10.1007/BF02773641zbMath0898.46044MaRDI QIDQ1366950

S. M. Bates

Publication date: 2 November 1998

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

zbMATH Keywords

dual\(C^1\) Lipschitz map onto any separable Banach spacenormalized, weakly null Banach-Saks sequence

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (17)

Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds ⋮ Filling analytic sets by the derivatives of 𝐶¹-smooth bumps ⋮ Smooth surjections without surjective restrictions ⋮ A remark on smooth images of Banach spaces ⋮ Extensions of smooth mappings into biduals and weak continuity ⋮ A note on biorthogonal systems ⋮ Smooth noncompact operators from \(C(K)\), \(K\) scattered ⋮ Ranges of operators and derivatives ⋮ James' theorem fails for starlike bodies ⋮ Isomorphic embeddings and harmonic behaviour of smooth operators ⋮ Smooth functions on \(C(K)\) ⋮ Smooth functions on \(c_0\) ⋮ Restricting open surjections ⋮ A factorisation approach to Bates's theorem ⋮ Uniform embeddings, homeomorphisms and quotient maps between Banach spaces (a short survey) ⋮ The range of the gradient of a Lipschitz \(C^1\)-smooth bump in infinite dimensions ⋮ Pyramidal vectors and smooth functions on Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the image size of singular maps. II
• Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
• Surjective Mappings Whose Differential is Nowhere Surjective
• Characterizing Hilbert space topology
• Super-reflexive spaces with bases

This page was built for publication: On smooth, nonlinear surjections of Banach spaces