In this thesis, we shall study disjointness preserving linear functionals of the Wiener ring. It is clear that Wiener ring is a dense subalgebra of C(T)in the usual supremum norm .However, Wiener ring is also isomorphic to L1(Z). So it has an 1 norm . By studying
the structure of ideals of the Wiener ring, we discover that disjointness preserving linear functionals are the same under different norms. Bounded disjointness preserving linear functionals of the Wiener ring is a multiple of the point mass in both cases. Finally, we establish the existence of unbounded
disjointness preserving linear functionals of the Wiener ring.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0606102-172304 |
| Date | 06 June 2002 |
| Creators | Fang, Wan-Chain |
| Contributors | Hwa-Long Gau, Chia-Hsin Liu, Tsai-Lien Wong, Ngai-Ching Wong |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0606102-172304 |
| Rights | unrestricted, Copyright information available at source archive |
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