- Tytuł:
- Some Ramsey type theorems for normed and quasinormed spaces
- Autorzy:
-
Henson, C. Ward
Kalton, Nigel
Peck, N.
Tereščák, Ignác
Zlatoš, Pavol - Powiązania:
- https://bibliotekanauki.pl/articles/1219937.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
normed space
Banach space
quasinormed and quasi-Banach space
p-norm
biorthogonal sequence
uniformly independent sequence
irreducible sequence
Ramsey's Theorem
nonstandard analysis - Opis:
- We prove that every bounded, uniformly separated sequence in a normed space contains a "uniformly independent" subsequence (see definition); the constants involved do not depend on the sequence or the space. The finite version of this result is true for all quasinormed spaces. We give a counterexample to the infinite version in $L_p[0,1]$ for each 0 < p < 1. Some consequences for nonstandard topological vector spaces are derived.
- Źródło:
-
Studia Mathematica; 1997, 124, 1; 81-100
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł