An indecomposable and unconditionally saturated Banach space

Spiros A. Argyros, and Antonis Manoussakis. "An indecomposable and unconditionally saturated Banach space." Studia Mathematica 159.1 (2003): 1-32. <http://eudml.org/doc/284688>.

@article{SpirosA2003,
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 $T ∈ ℬ (X_\{ius\})$ is of the form λI + S with S a strictly singular operator.},
author = {Spiros A. Argyros, Antonis Manoussakis},
journal = {Studia Mathematica},
keywords = {herditarily indecomposable; unconditional basic sequence; strictly singular; coding function; indecomposable Banach space; unconditionally saturated},
language = {eng},
number = {1},
pages = {1-32},
title = {An indecomposable and unconditionally saturated Banach space},
url = {http://eudml.org/doc/284688},
volume = {159},
year = {2003},
}

TY - JOUR
AU - Spiros A. Argyros
AU - Antonis Manoussakis
TI - An indecomposable and unconditionally saturated Banach space
JO - Studia Mathematica
PY - 2003
VL - 159
IS - 1
SP - 1
EP - 32
AB - 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 $T ∈ ℬ (X_{ius})$ is of the form λI + S with S a strictly singular operator.
LA - eng
KW - herditarily indecomposable; unconditional basic sequence; strictly singular; coding function; indecomposable Banach space; unconditionally saturated
UR - http://eudml.org/doc/284688
ER -