𝐶^{𝑘}-smooth approximations of LUR norms

DOI10.1090/S0002-9947-2013-05899-0zbMath1290.46008arXiv0901.3623MaRDI QIDQ5401749

Antonín Procházka, Petr Hájek

Publication date: 12 March 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.3623

zbMATH Keywords

renormingweakly compactly generated spacelocally uniformly rotund norm\(C^k\)-smooth normcontinuous functions on ordinals

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Banach spaces of continuous, differentiable or analytic functions (46E15) Nonseparable Banach spaces (46B26)

Related Items (5)

Smooth and polyhedral approximation in Banach spaces ⋮ Rotund Gâteaux smooth norms which are not locally uniformly rotund ⋮ Approximation of norms on Banach spaces ⋮ Renormings of \(C(K)\) spaces ⋮ Some remarks on smooth renormings of Banach spaces

Cites Work

• Norms with locally Lipschitzian derivatives
• Renormages de quelques \({\mathcal C}(K)\). (Renormings of some \({\mathcal C}(K)\) spaces)
• Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces
• On convex functions in \(c_ 0(\omega_ 1)\)
• Averaged norms
• Second-Order Gâteaux Differentiable Bump Functions and Approximations in Banach Spaces
• On locally uniformly convex and differentiable norms in certain non-separable Banach spaces
• Biorthogonal systems in Banach spaces
• Functional analysis and infinite-dimensional geometry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: 𝐶^{𝑘}-smooth approximations of LUR norms