Geodesic
An indecomposable and unconditionally saturated Banach space
Spiros A. Argyros1 ; Antonis Manoussakis2
1Department of Mathematics National Technical University of Athens Athens, Greece
2Department 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

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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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 unconditionally saturated Banach space
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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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