Smooth functions on \(c_0\)
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Publication:1279961
DOI10.1007/BF02897057zbMath0940.46023OpenAlexW4232518494MaRDI QIDQ1279961
Publication date: 16 February 2000
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02897057
Fréchet differentiabilityuniform continuity\(c_0\)locally compact mappingsmoothness properties of Banach spaces
Related Items (21)
On uniformly differentiable mappings from \(\ell_\infty(\Gamma)\) ⋮ STRONGLY SEQUENTIALLY CONTINUOUS FUNCTIONS ⋮ Every closed convex set is the set of minimizers of some $C^{\infty }$-smooth convex function ⋮ Smooth surjections without surjective restrictions ⋮ A remark on smooth images of Banach spaces ⋮ Random multifunctions as set minimizers of infinitely many differentiable random functions ⋮ On Whitney-type extension theorems on Banach spaces for \(C^{1, \omega}, C^{1,+}, C_{\operatorname{loc}}^{1, +}\), and \(C_{\operatorname{B}}^{1, +}\)-smooth functions ⋮ Smooth approximations without critical points ⋮ Smooth noncompact operators from \(C(K)\), \(K\) scattered ⋮ A note on the range of the derivatives of analytic approximations of uniformly continuous functions on \(c_0\) ⋮ Ranges of operators and derivatives ⋮ James' theorem fails for starlike bodies ⋮ The failure of Rolle's theorem in infinite-dimensional Banach spaces ⋮ On the range of the derivative of Gâteaux-smooth functions on separable Banach spaces ⋮ Smooth norms in dense subspaces of Banach spaces ⋮ Smooth functions on \(C(K)\) ⋮ Restricting open surjections ⋮ Weakly sequentially continuous differentiable mappings ⋮ A factorisation approach to Bates's theorem ⋮ A note on extreme points of $C^\infty $-smooth balls in polyhedral spaces ⋮ Pyramidal vectors and smooth functions on Banach spaces
Cites Work
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- On smooth, nonlinear surjections of Banach spaces
- Separable Banach spaces which admit \(I^ \infty_ n\) approximations
- Spaces of continuous functions (IV). (On isomorphical classification of spaces of continuous functions).
- Smooth partitions of unity on some non-separable Banach spaces
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