- Tytuł:
- Uniform non-\(\ell_1^n\)-ness of \(\ell_1\)-sums of Banach spaces
- Autorzy:
-
Kato, Mikio
Tamura, Takayuki - Powiązania:
- https://bibliotekanauki.pl/articles/1912852.pdf
- Data publikacji:
- 2007
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
\(\ell_1\)-sum of Banach spaces
uniformly non-square space
uniformly non-\(\ell_1^n\)-space
super-reflexivity
fixed point property - Opis:
- We shall characterize the uniform non-\(\ell_1^n\)-ness of the \(\ell_1\)-sum \((X_1 \oplus\dots\oplus X_m)_1\) of a finite number of Banach spaces \(X_1 ,\dots, X_m\). Also we shall obtain that \((X_1 \oplus \dots \oplus X_m)_1\) is uniformly non-\(\ell_1^{m+1}\) if and only if all \(X_1 ,\dots , X_m\) are uniformly non-square (note that \((X_1 \oplus \dots \oplus X_m)_1\) is not uniformly non-\(\ell_1^m\)). Several related results will be presented.
- Źródło:
-
Commentationes Mathematicae; 2007, 47, 2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł