Non-separable tree-like Banach spaces and Rosenthal's ℓ₁-theorem

Costas Poulios. "Non-separable tree-like Banach spaces and Rosenthal's ℓ₁-theorem." Studia Mathematica 221.1 (2014): 1-12. <http://eudml.org/doc/285598>.

@article{CostasPoulios2014,
abstract = {We introduce and investigate a class of non-separable tree-like Banach spaces. As a consequence, we prove that we cannot achieve a satisfactory extension of Rosenthal's ℓ₁-theorem to spaces of the type ℓ₁(κ) for κ an uncountable cardinal.},
author = {Costas Poulios},
journal = {Studia Mathematica},
keywords = {non-separable tree-like Banach spaces; Rosenthal’s -theorem; uncountable cardinal},
language = {eng},
number = {1},
pages = {1-12},
title = {Non-separable tree-like Banach spaces and Rosenthal's ℓ₁-theorem},
url = {http://eudml.org/doc/285598},
volume = {221},
year = {2014},
}

TY - JOUR
AU - Costas Poulios
TI - Non-separable tree-like Banach spaces and Rosenthal's ℓ₁-theorem
JO - Studia Mathematica
PY - 2014
VL - 221
IS - 1
SP - 1
EP - 12
AB - We introduce and investigate a class of non-separable tree-like Banach spaces. As a consequence, we prove that we cannot achieve a satisfactory extension of Rosenthal's ℓ₁-theorem to spaces of the type ℓ₁(κ) for κ an uncountable cardinal.
LA - eng
KW - non-separable tree-like Banach spaces; Rosenthal’s -theorem; uncountable cardinal
UR - http://eudml.org/doc/285598
ER -