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arXiv · 1609.06509

An Indecomposable and unconditionally saturated Banach space

Spiros A. Argyros·A. Manoussakis
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Abstract

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

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Spiros A. Argyros, A. Manoussakis. 2016-09-21. An Indecomposable and unconditionally saturated Banach space. https://arxiv.org/abs/1609.06509

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