An indecomposable and unconditionally saturated Banach space
Spiros A. Argyros ; Antonis Manoussakis
Studia Mathematica, Tome 157 (2003), p. 1-32 / Harvested from The Polish Digital Mathematics Library
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We construct an indecomposable reflexive Banach space Xius such that every infinite-dimensional closed subspace contains an unconditional basic sequence. We also show that every operator T∈ℬ(Xius) is of the form λI + S with S a strictly singular operator.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284688 
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Spiros A. Argyros; Antonis Manoussakis. An indecomposable and unconditionally saturated Banach space. Studia Mathematica, Tome 157 (2003) pp. 1-32. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-1-1/