An indecomposable Banach space of continuous functions which has small density

@article{RogérioAugustodosSantosFajardo2009,
abstract = {Using the method of forcing we construct a model for ZFC where CH does not hold and where there exists a connected compact topological space K of weight $ω₁ < 2^\{ω\}$ such that every operator on the Banach space of continuous functions on K is multiplication by a continuous function plus a weakly compact operator. In particular, the Banach space of continuous functions on K is indecomposable.},
author = {Rogério Augusto dos Santos Fajardo},
journal = {Fundamenta Mathematicae},
keywords = {Banach spaces; indecomposable Banach spaces; operators; forcing; independence proof; density},
language = {eng},
number = {1},
pages = {43-63},
title = {An indecomposable Banach space of continuous functions which has small density},
url = {http://eudml.org/doc/283191},
volume = {202},
year = {2009},
}

TY - JOUR
AU - Rogério Augusto dos Santos Fajardo
TI - An indecomposable Banach space of continuous functions which has small density
JO - Fundamenta Mathematicae
PY - 2009
VL - 202
IS - 1
SP - 43
EP - 63
AB - Using the method of forcing we construct a model for ZFC where CH does not hold and where there exists a connected compact topological space K of weight $ω₁ < 2^{ω}$ such that every operator on the Banach space of continuous functions on K is multiplication by a continuous function plus a weakly compact operator. In particular, the Banach space of continuous functions on K is indecomposable.
LA - eng
KW - Banach spaces; indecomposable Banach spaces; operators; forcing; independence proof; density
UR - http://eudml.org/doc/283191
ER -