Geodesic
An indecomposable and unconditionally saturated Banach space
Spiros A. Argyros 1   ; Antonis Manoussakis 2
1 Department of Mathematics National Technical University of Athens Athens, Greece
2 Department of Sciences Section of Mathematics Technical University of Crete Chania, Crete, Greece
Studia Mathematica, Tome 159 (2003) no. 1, pp. 1-32 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We construct an indecomposable reflexive Banach space $X_{\rm ius}$ such that every infinite-dimensional closed subspace contains an unconditional basic sequence. We also show that every operator $T\in {\mathcal B}(X_{\rm ius})$ is of the form $\lambda I+S$ with $S$ a strictly singular operator.
DOI : 10.4064/sm159-1-1
Keywords: construct indecomposable reflexive banach space ius every infinite dimensional closed subspace contains unconditional basic sequence every operator mathcal ius form lambda strictly singular operator

Spiros A. Argyros  1   ; Antonis Manoussakis  2

1 Department of Mathematics National Technical University of Athens Athens, Greece
2 Department of Sciences Section of Mathematics Technical University of Crete Chania, Crete, Greece 
@article{10_4064_sm159_1_1,
     author = {Spiros A. Argyros and Antonis Manoussakis},
     title = {An indecomposable and
 unconditionally saturated {Banach} space},
     journal = {Studia Mathematica},
     pages = {1--32},
     year = {2003},
     volume = {159},
     number = {1},
     doi = {10.4064/sm159-1-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm159-1-1/}
}
TY  - JOUR
AU  - Spiros A. Argyros
AU  - Antonis Manoussakis
TI  - An indecomposable and
 unconditionally saturated Banach space
JO  - Studia Mathematica
PY  - 2003
SP  - 1
EP  - 32
VL  - 159
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm159-1-1/
DO  - 10.4064/sm159-1-1
LA  - en
ID  - 10_4064_sm159_1_1
ER  - 
%0 Journal Article
%A Spiros A. Argyros
%A Antonis Manoussakis
%T An indecomposable and
 unconditionally saturated Banach space
%J Studia Mathematica
%D 2003
%P 1-32
%V 159
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/sm159-1-1/
%R 10.4064/sm159-1-1
%G en
%F 10_4064_sm159_1_1
Spiros A. Argyros; Antonis Manoussakis. An indecomposable and
 unconditionally saturated Banach space. Studia Mathematica, Tome 159 (2003) no. 1, pp. 1-32. doi: 10.4064/sm159-1-1

Cité par Sources :