Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416422 | Linear Algebra and its Applications | 2014 | 16 Pages |
Abstract
The study of m-isometry elementary operator of length one is initiated by Botelho and Jamison. Several authors have contributed to obtain this result: if the two operator coefficients involved are m-isometries then the elementary operator is m-isometry on the Hilbert-Schmidt operator ideal. In this paper we show that the converse of this result is also true. We also give a necessary and sufficient condition forâ the generalized derivation to be an m-isometry. The sufficiency follows from results on the sum of m-isometries and nilpotent operators in two recent papers.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Caixing Gu,