Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4601028 | Linear Algebra and its Applications | 2012 | 12 Pages |
Abstract
A Hilbert space operator A is an m-isometry if∑k=0m(-1)kmkA∗m-kAm-k=0.We prove that the tensor product of an m-isometry A with an n-isometry B is an m+n-1m+n-1 isometry. This proves a conjecture of Botelho and Jamison [5, Remark 5.1].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
B.P. Duggal,