The Fixed Point Property of Unital Abelian Banach Algebras

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.

Bibliographic Details
Main Authors: W. Fupinwong, S. Dhompongsa
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2010/362829
Description
Summary: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.
ISSN:1687-1820
1687-1812