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Derivations mapping into the radical

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dc.contributor.advisor Prof. H. Raubenheimer en
dc.contributor.author Ndipingwi, Christopher Mbuh
dc.date.accessioned 2010-05-27T06:03:08Z
dc.date.available 2010-05-27T06:03:08Z
dc.date.issued 2010-05-27T06:03:08Z
dc.date.submitted 2008
dc.identifier.uri http://hdl.handle.net/10210/3274
dc.description M.Sc. en
dc.description.abstract One of the earliest results (1955) in the theory of derivations is the celebrated theorem of I. M. Singer and J. Wermer [14] which asserts that every bounded derivation on a commutative Banach algebra has range contained in the radical. However, they immediately conjectured that their result will still hold if the boundedness condition was dropped. This conjecture of Singer and Wermer was confirmed only in 1988, by M. P. Thomas [23], when he showed that every derivation (bounded or unbounded) on a commutative Banach algebra has range contained in the radical. But it is not known whether an analogue of the Kleinecke-Shirokov Theorem holds for everywhere defined unbounded derivation. en
dc.language.iso en en
dc.subject Banach algebras en
dc.subject Radical theory en
dc.title Derivations mapping into the radical en
dc.type Thesis en

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