Some remarks on smooth renormings of Banach spaces

We prove that in every separable Banach space X with a Schauder basis and a Ck-smooth norm it is possible to approximate, uniformly on bounded sets, every equivalent norm with a Ck-smooth one in a way that the approximation is improving as fast as we wish on the elements depending only on the tail o...

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Vydané v:	Journal of mathematical analysis and applications Ročník 455; číslo 2; s. 1272 - 1284
Hlavní autori:	Hájek, Petr, Russo, Tommaso
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 15.11.2017
Predmet:	[formula omitted]-smooth norm Approximation of norms Fréchet smooth Implicit function theorem Minkowski functional Renorming Renorming Fréchet smooth Implicit function theorem Ck-smooth norm Approximation of norms Minkowski functional
ISSN:	0022-247X, 1096-0813
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