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/