An indecomposable and unconditionally saturated Banach space
Volume 159 / 2003
Studia Mathematica 159 (2003), 1-32
MSC: Primary 46B20.
DOI: 10.4064/sm159-1-1
Abstract
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.
