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

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

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.