Abstract of a paper by Spiros A. Argyros, A. Manoussakis
1 Oct
2016
1 Oct
'16
11:38 a.m.
This is an announcement for the paper “An Indecomposable and unconditionally saturated Banach space” by Spiros A. Argyros<https://arxiv.org/find/math/1/au:+Argyros_S/0/1/0/all/0/1>, A. Manoussakis<https://arxiv.org/find/math/1/au:+Manoussakis_A/0/1/0/all/0/1>. Abstract: We construct an indecomposable reflexive Banach space $\mathcal{X}_{ius}$ such that every infinite dimensional closed subspace contains an unconditional basic sequence. We also show that every operator $T\in B(\mathcal{X}_{ius})$ is of the form $\lambda I + S$ with $S$ a strictly singular operator. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1609.06509
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Bentuo Zheng (bzheng)