Geodesic
Examples of $k$-iterated spreading models
Spiros A. Argyros 1   ; Pavlos Motakis 1
1 Department of Mathematics Faculty of Applied Sciences National Technical University of Athens Zografou Campus 15780, Athens, Greece
Studia Mathematica, Tome 217 (2013) no. 1, pp. 57-78 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

It is shown that for every $k\in \mathbb {N}$ and every spreading sequence $\{e_n\}_{n}$ that generates a uniformly convex Banach space $E$, there exists a uniformly convex Banach space $X_{k+1}$ admitting $\{e_n\}_{n}$ as a $k+1$-iterated spreading model, but not as a $k$-iterated one.
DOI : 10.4064/sm217-1-4
Keywords: shown every mathbb every spreading sequence generates uniformly convex banach space nbsp there exists uniformly convex banach space admitting iterated spreading model k iterated

Spiros A. Argyros  1   ; Pavlos Motakis  1

1 Department of Mathematics Faculty of Applied Sciences National Technical University of Athens Zografou Campus 15780, Athens, Greece 
@article{10_4064_sm217_1_4,
     author = {Spiros A. Argyros and Pavlos Motakis},
     title = {Examples of $k$-iterated spreading models},
     journal = {Studia Mathematica},
     pages = {57--78},
     year = {2013},
     volume = {217},
     number = {1},
     doi = {10.4064/sm217-1-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm217-1-4/}
}
TY  - JOUR
AU  - Spiros A. Argyros
AU  - Pavlos Motakis
TI  - Examples of $k$-iterated spreading models
JO  - Studia Mathematica
PY  - 2013
SP  - 57
EP  - 78
VL  - 217
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm217-1-4/
DO  - 10.4064/sm217-1-4
LA  - en
ID  - 10_4064_sm217_1_4
ER  - 
%0 Journal Article
%A Spiros A. Argyros
%A Pavlos Motakis
%T Examples of $k$-iterated spreading models
%J Studia Mathematica
%D 2013
%P 57-78
%V 217
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/sm217-1-4/
%R 10.4064/sm217-1-4
%G en
%F 10_4064_sm217_1_4
Spiros A. Argyros; Pavlos Motakis. Examples of $k$-iterated spreading models. Studia Mathematica, Tome 217 (2013) no. 1, pp. 57-78. doi: 10.4064/sm217-1-4

Cité par Sources :