Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4601217 | Linear Algebra and its Applications | 2012 | 20 Pages |
Abstract
This paper deals with idempotent operators (i.e., P2=P) and n-potent operators (i.e., Pn=P). We characterize the invertibility, the group invertibility and idempotency of the linear combinations of idempotent operators (or n-potent operators) under certain commutativity property imposed on them.
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