Let A be an algebra. A mapping : A ! A is called a 2-local automorphism if for
every a, b in A there is an automorphism ab : A ! A, depending on a and b, such
that ab(a) = (a) and ab(b) = (b). Here no linearity, surjectivity or continuity of
is assumed. In this thesis we extend a result of Lajos Moln´ar stating that every
2-local automorphism of an operator algebra on a Banach space with a Schauder basis
is an automorphism. We obtain the same conclusion for operator algebras on Fr´echet
spaces with Schauder bases.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0709103-115608 |
| Date | 09 July 2003 |
| Creators | Liu, Jung-Hui |
| Contributors | Tsai-Lien Wong, Wen-Fong Ke, Jen-Chih Yao, Ngai-Ching Wong, Mark C. Ho |
| 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-0709103-115608 |
| Rights | unrestricted, Copyright information available at source archive |
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