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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/362829 |
| _version_ | 1819292561973444608 |
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| author | W. Fupinwong S. Dhompongsa |
| author_facet | W. Fupinwong S. Dhompongsa |
| author_sort | W. Fupinwong |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-24T03:56:30Z |
| format | Article |
| id | doaj.art-f42b82f02f124ac4a6256d034f702f4f |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-24T03:56:30Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-f42b82f02f124ac4a6256d034f702f4f2022-12-21T17:16:27ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-01201010.1155/2010/362829The Fixed Point Property of Unital Abelian Banach AlgebrasW. FupinwongS. DhompongsaWe 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.http://dx.doi.org/10.1155/2010/362829 |
| spellingShingle | W. Fupinwong S. Dhompongsa The Fixed Point Property of Unital Abelian Banach Algebras Fixed Point Theory and Applications |
| title | The Fixed Point Property of Unital Abelian Banach Algebras |
| title_full | The Fixed Point Property of Unital Abelian Banach Algebras |
| title_fullStr | The Fixed Point Property of Unital Abelian Banach Algebras |
| title_full_unstemmed | The Fixed Point Property of Unital Abelian Banach Algebras |
| title_short | The Fixed Point Property of Unital Abelian Banach Algebras |
| title_sort | fixed point property of unital abelian banach algebras |
| url | http://dx.doi.org/10.1155/2010/362829 |
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