Temat: Kadec-Klee Property - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Banach-Saks property in some Banach sequence spaces
Autorzy:: Cui, Yunan
Hudzik, Henryk
Płuciennik, Ryszard
Powiązania:: https://bibliotekanauki.pl/articles/1310793.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Banach-Saks property
property (β)
nearly uniform convexity
uniform Kadec-Klee property
property (H)
Musielak-Orlicz sequence space
Opis:: It is proved that for any Banach space X property (β) defined by Rolewicz in [22] implies that both X and X* have the Banach-Saks property. Moreover, in Musielak-Orlicz sequence spaces, criteria for the Banach-Saks property, the near uniform convexity, the uniform Kadec-Klee property and property (H) are given.
Źródło:: Annales Polonici Mathematici; 1996-1997, 65, 2; 193-202
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: A new convexity property that implies a fixed point property for $L_{1}$
Autorzy:: Lennard, Chris
Powiązania:: https://bibliotekanauki.pl/articles/1293465.pdf
Data publikacji:: 1991
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: uniform Kadec-Klee property
convergence in measure compact sets
convex sets
normal structure
Lebesgue function spaces
fixed point
nonexpansive mapping
Chebyshev centre
Opis:: In this paper we prove a new convexity property for L₁ that resembles uniform convexity. We then develop a general theory that leads from the convexity property through normal structure to a fixed point property, via a theorem of Kirk. Applying this theory to L₁, we get the following type of normal structure: any convex subset of L₁ of positive diameter that is compact for the topology of convergence locally in measure, must have a radius that is smaller than its diameter. Indeed, a stronger result holds. The Chebyshev centre of any norm bounded, convergence locally in measure compact subset of L₁ must be norm compact. Immediately from normal structure, we get a new proof of a fixed point theorem for L₁ due to Lami Dozo and Turpin.
Źródło:: Studia Mathematica; 1991, 100, 2; 95-108
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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