M-bases in spaces of continuous functions on ordinals
Volume 92 / 2002
Colloquium Mathematicum 92 (2002), 179-187
MSC: 46B15, 46B04, 46B26.
DOI: 10.4064/cm92-2-3
Abstract
We prove, among other things, that the space $C[0,\omega _2]$ has no countably norming Markushevich basis. This answers a question asked by G.~Alexandrov and A. Plichko.