Geodesic
An indecomposable and unconditionally saturated Banach space
Spiros A. Argyros1 ; Antonis Manoussakis2
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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
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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

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