| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4622672 | Journal of Mathematical Analysis and Applications | 2007 | 8 Pages |
Abstract
A complex number λ is called an extended eigenvalue of a bounded linear operator T on a Banach space B if there exists a non-zero bounded linear operator X acting on B such that XT=λTX. We show that there are compact quasinilpotent operators on a separable Hilbert space, for which the set of extended eigenvalues is the one-point set {1}.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
