We prove, among other things, that the space C[0,ω₂] has no countably norming Markushevich basis. This answers a question asked by G. Alexandrov and A. Plichko.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-3,
author = {Ondrej F. K. Kalenda},
title = {M-bases in spaces of continuous functions on ordinals},
journal = {Colloquium Mathematicae},
volume = {91},
year = {2002},
pages = {179-187},
zbl = {1029.46006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-3}
}
Ondrej F. K. Kalenda. M-bases in spaces of continuous functions on ordinals. Colloquium Mathematicae, Tome 91 (2002) pp. 179-187. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-3/