Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 362829, 13 pages
doi:10.1155/2010/362829
Research Article

The Fixed Point Property of Unital Abelian Banach Algebras

W. Fupinwong and S. Dhompongsa

Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Received 28 October 2009; Accepted 22 January 2010

Academic Editor: Anthony To Ming Lau

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.

Abstract

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.