On unconditionally saturated Banach spaces

Pandelis Dodos, and Jordi Lopez-Abad. "On unconditionally saturated Banach spaces." Studia Mathematica 188.2 (2008): 175-191. <http://eudml.org/doc/284466>.

@article{PandelisDodos2008,
abstract = {We prove a structural property of the class of unconditionally saturated separable Banach spaces. We show, in particular, that for every analytic set 𝓐, in the Effros-Borel space of subspaces of C[0,1], of unconditionally saturated separable Banach spaces, there exists an unconditionally saturated Banach space Y, with a Schauder basis, that contains isomorphic copies of every space X in the class 𝓐.},
author = {Pandelis Dodos, Jordi Lopez-Abad},
journal = {Studia Mathematica},
keywords = {unconditional basic sequence; strongly bounded classes; -spaces},
language = {eng},
number = {2},
pages = {175-191},
title = {On unconditionally saturated Banach spaces},
url = {http://eudml.org/doc/284466},
volume = {188},
year = {2008},
}

TY - JOUR
AU - Pandelis Dodos
AU - Jordi Lopez-Abad
TI - On unconditionally saturated Banach spaces
JO - Studia Mathematica
PY - 2008
VL - 188
IS - 2
SP - 175
EP - 191
AB - We prove a structural property of the class of unconditionally saturated separable Banach spaces. We show, in particular, that for every analytic set 𝓐, in the Effros-Borel space of subspaces of C[0,1], of unconditionally saturated separable Banach spaces, there exists an unconditionally saturated Banach space Y, with a Schauder basis, that contains isomorphic copies of every space X in the class 𝓐.
LA - eng
KW - unconditional basic sequence; strongly bounded classes; -spaces
UR - http://eudml.org/doc/284466
ER -