Temat: geometry of Banach spaces - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A survey on Lipschitz-free Banach Spaces
Autorzy:: Godefroy, Gilles
Powiązania:: https://bibliotekanauki.pl/articles/746348.pdf
Data publikacji:: 2015
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Lipschitz maps
geometry of Banach spaces
Opis:: This article is a survey of Lipschitz\dywiz free Banach spaces and recent progress in the understanding of their structure. The results we present have been obtained in the last fifteen years (and quite often in the last five years). We give a self\dywiz contained presentation of the basic properties of Lipschitz\dywiz free Banach spaces and investigate some specific topics: non-linear transfer of asymptotic smoothness, approximation properties, norm\dywiz attainment. Section 5 consists mainly of unpublished results. A list of open problems with comentary is provided.
Źródło:: Commentationes Mathematicae; 2015, 55, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Analytic and $C^k$ approximations of norms in separable Banach spaces
Autorzy:: Deville, Robert
Fonf, Vladimir
Hájek, Petr
Powiązania:: https://bibliotekanauki.pl/articles/1287379.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: analytic norm
approximation
convex function
geometry of Banach spaces
Opis:: We prove that in separable Hilbert spaces, in $ℓ_{p}(ℕ)$ for p an even integer, and in $L_{p}[0,1]$ for p an even integer, every equivalent norm can be approximated uniformly on bounded sets by analytic norms. In $ℓ_{p}(ℕ)$ and in $L_{p}[0,1]$ for p ∉ ℕ (resp. for p an odd integer), every equivalent norm can be approximated uniformly on bounded sets by $C^[p]}$-smooth norms (resp. by $C^{p-1}$-smooth norms).
Źródło:: Studia Mathematica; 1996, 120, 1; 61-74
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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