Kolwicz, Paweł:
Uniform Kadec-Klee property and nearly uniform convexity in Köthe-Bochner sequence spaces
Bollettino dell'Unione Matematica Italiana Serie 8 6-B (2003), fasc. n.1, p. 221-235, Unione Matematica Italiana (English)
pdf (280 Kb), djvu (201 Kb). | MR1955707 | Zbl 1178.46008
Sunto
Viene studiata la proprietà uniforme di Kadec-Klee in spazi sequenziali di Kothe-Bochner $E(X)$, dove $E$ è uno spazio sequenziale di Kothe e $X$ è un arbitrario spazio di Banach separabile. Precisamente, viene esaminato il problema se questa proprietà geometrica si può trasportare da $X$ in $E(X)$. Ciò viene stabilito in contrasto con il caso in cui $E$ è uno spazio di Kothe. Come corollario viene stabilito un criterio affichè $E(X)$ sia «nearly» uniformemente convesso.
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