Article ID Journal Published Year Pages File Type
4601709 Linear Algebra and its Applications 2010 8 Pages PDF
Abstract

We characterize essential normality for certain elementary operators acting on the Hilbert-Schmidt class. We find the Aluthge transform of an elementary operator of length one. We show that the Aluthge transform of an elementary 2-isometry need not be a 2-isometry. We also characterize hermitian elementary operators of length 2.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory