Article ID Journal Published Year Pages File Type
4601217 Linear Algebra and its Applications 2012 20 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory