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SMOOTH APPROXIMATIONS OF NORMS IN SEPARABLE BANACH SPACES

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Publication:2922459
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DOI10.1093/qmath/hat053zbMath1315.46009arXiv1105.6046OpenAlexW2964342179MaRDI QIDQ2922459

Petr Hájek, Jarno Talponen

Publication date: 10 October 2014

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.6046


zbMATH Keywords

smooth approximationsFréchet differentiable norm


Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Derivatives of functions in infinite-dimensional spaces (46G05)


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Birkhoff–James Orthogonality: Characterizations, Preservers, and Orthogonality Graphs ⋮ Observations on quasihyperbolic geometry modeled on Banach spaces ⋮ Renormings preserving local geometry at countably many points in spheres of Banach spaces and applications ⋮ Smooth and polyhedral approximation in Banach spaces ⋮ Approximation of norms on Banach spaces ⋮ Some remarks on smooth renormings of Banach spaces ⋮ Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces



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