Smooth norms in dense subspaces of Banach spaces

DOI10.1016/j.jmaa.2020.123963zbMath1457.46011arXiv1911.09611OpenAlexW3007753176MaRDI QIDQ2306223

Sheldon Dantas, Tommaso Russo, Petr Hájek

Publication date: 20 March 2020

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

Full work available at URL: https://arxiv.org/abs/1911.09611

zbMATH Keywords

unconditional basisanalytic normdense subspacesmooth renorming

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26)

Related Items

Rotund Gâteaux smooth norms which are not locally uniformly rotund ⋮ On densely isomorphic normed spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Smooth partitions of unity on Banach spaces
• Geometrical implications of the existence of very smooth bump functions in Banach spaces
• On densely isomorphic normed spaces
• Norms with locally Lipschitzian derivatives
• Equivalent norms on spaces of bounded functions
• Fréchet differentiable norms on spaces of countable dimension
• Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces
• Smooth functions on \(c_0\)
• Open Problems in the Geometry and Analysis of Banach Spaces
• On projectional resolution of identity on the duals of certain Banach spaces
• Set Theory
• Smooth Norms that Depend Locally on Finitely many Coordinates
• Smooth analysis in Banach spaces
• Biorthogonal systems in Banach spaces

This page was built for publication: Smooth norms in dense subspaces of Banach spaces