M-bases in spaces of continuous functions on ordinals

Ondrej F. K. Kalenda

Colloquium Mathematicae (2002)

  • Volume: 92, Issue: 2, page 179-187
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Ondrej F. K. Kalenda. "M-bases in spaces of continuous functions on ordinals." Colloquium Mathematicae 92.2 (2002): 179-187. <http://eudml.org/doc/284434>.

@article{OndrejF2002,
abstract = {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.},
author = {Ondrej F. K. Kalenda},
journal = {Colloquium Mathematicae},
keywords = {Markushevich bases; spaces of continuous functions on ordinals},
language = {eng},
number = {2},
pages = {179-187},
title = {M-bases in spaces of continuous functions on ordinals},
url = {http://eudml.org/doc/284434},
volume = {92},
year = {2002},
}

TY - JOUR
AU - Ondrej F. K. Kalenda
TI - M-bases in spaces of continuous functions on ordinals
JO - Colloquium Mathematicae
PY - 2002
VL - 92
IS - 2
SP - 179
EP - 187
AB - 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.
LA - eng
KW - Markushevich bases; spaces of continuous functions on ordinals
UR - http://eudml.org/doc/284434
ER -

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