| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4601718 | Linear Algebra and its Applications | 2010 | 9 Pages |
Abstract
We consider the elementary operator L, acting on the Hilbert–Schmidt Class C2(H), given by L(T)=ATB, with A and B bounded operators on H. We establish necessary and sufficient conditions on A and B for L to be a 2-isometry or a 3-isometry. We derive sufficient conditions for L to be an n-isometry. We also give several illustrative examples involving the weighted shift operator on l2 and the multiplication operator on the Dirichlet space.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
