Non-separable Banach spaces with non-meager Hamel basis

Taras Banakh, Mirna Džamonja, and Lorenz Halbeisen. "Non-separable Banach spaces with non-meager Hamel basis." Studia Mathematica 189.1 (2008): 27-34. <http://eudml.org/doc/286377>.

@article{TarasBanakh2008,
abstract = {We show that an infinite-dimensional complete linear space X has: ∙ a dense hereditarily Baire Hamel basis if |X| ≤ ⁺; ∙ a dense non-meager Hamel basis if $|X| = κ^\{ω\} = 2^\{κ\}$ for some cardinal κ.},
author = {Taras Banakh, Mirna Džamonja, Lorenz Halbeisen},
journal = {Studia Mathematica},
keywords = {Hamel basis; Banach space; Baire space},
language = {eng},
number = {1},
pages = {27-34},
title = {Non-separable Banach spaces with non-meager Hamel basis},
url = {http://eudml.org/doc/286377},
volume = {189},
year = {2008},
}

TY - JOUR
AU - Taras Banakh
AU - Mirna Džamonja
AU - Lorenz Halbeisen
TI - Non-separable Banach spaces with non-meager Hamel basis
JO - Studia Mathematica
PY - 2008
VL - 189
IS - 1
SP - 27
EP - 34
AB - We show that an infinite-dimensional complete linear space X has: ∙ a dense hereditarily Baire Hamel basis if |X| ≤ ⁺; ∙ a dense non-meager Hamel basis if $|X| = κ^{ω} = 2^{κ}$ for some cardinal κ.
LA - eng
KW - Hamel basis; Banach space; Baire space
UR - http://eudml.org/doc/286377
ER -