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Fixed point property and normal structure for Banach spaces associated to locally compact groups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lau, Anthony To-Ming Mah, Peter F. Ülger, A. |
| Copyright Year | 1997 |
| Abstract | In this paper we investigate when various Banach spaces associated to a locally compact group G have the fixed point property for nonexpansive mappings or normal structure. We give sufficient conditions and some necessary conditions about G for the Fourier and Fourier-Stieltjes algebras to have the fixed point property. We also show that if a C*-algebra Qt has the fixed point property then for any normal element a of 2A, the spectrum o(a) is countable and that the group C*-algebra C* (G) has weak normal structure if and only if G is finite. |
| Starting Page | 2021 |
| Ending Page | 2027 |
| Page Count | 7 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9939-97-03773-8 |
| Volume Number | 125 |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/1997-125-07/S0002-9939-97-03773-8/S0002-9939-97-03773-8.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9939-97-03773-8 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |