dc.contributor.author 
Tang, Geok Seng. 
en 
dc.date.accessioned 
20090417T16:03:38Z 

dc.date.available 
20090417T16:03:38Z 

dc.date.created 
1969 
en 
dc.date.issued 
20090417T16:03:38Z 

dc.identifier.citation 
Source: Masters Abstracts International, Volume: 4506, page: 3174. 
en 
dc.identifier.uri 
http://hdl.handle.net/10393/10901 

dc.description.abstract 
Let A be a C*algebra. Since the bidual of A can be considered as a W*algebra, this enables us to prove the following duality theorems: (i) There exists a bijection between the normclosed 2sided ideals of A and the normclosed invariant order ideals of A. (ii) There exists a bijection between the normclosed left ideals of A and the normclosed order ideals of A. (iii) There exists an order inverting bijection between the normclosed 2sided ideals of A and the weak*closed invariant faces of S(A), where S(A) is the state space of A. The object of the thesis is to verify the above observations and to give Stormer's solution to J. Dixmier's problem: if N and M are normclosed 2sided ideals of A, then (N + M)+ = N + + M+, where N+ and M+ denote the positive parts of N and M respectively. 
en 
dc.format.extent 
67 p. 
en 
dc.publisher 
University of Ottawa (Canada). 
en 
dc.subject.classification 
Mathematics. 
en 
dc.title 
Order ideals in a C*algebra. 
en 
dc.type 
M.Sc.Thesis (M.Sc.)University of Ottawa (Canada), 1969. 
en 