Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Copyright © 2010 W. Fupinwong and S. Dhompongsa. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We give a general condition for infinite dimensional unital Abelian Banach
algebras to fail the fixed point property. Examples of those algebras are given including the algebras of continuous functions on compact sets.