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Ideals of operator algebra
Author
Ong, Bee Lay
Supervisor
Zhao, Dongsheng
Abstract
Given any vestor space V, the operators on V form an algebra R. In this project, we investigate the structures of left (right) ideals of such algebras. It can be shown that, when V is M e dimensional, there is a one-to-one correspondence between subspaces of V and left (right) ideals of V. We also proved that in a Hilbert space, a subspace is determined by a left ideal if and only if it is closed.
Date Issued
1999
Call Number
QA326 Ong
Date Submitted
1999