| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4619525 | Journal of Mathematical Analysis and Applications | 2010 | 9 Pages |
Abstract
The numerical range W(A) of a bounded linear operator A on a Hilbert space is the collection of complex numbers of the form (Av,v) with v ranging over the unit vectors in the Hilbert space. In terms of the location of W(A), inclusion regions are obtained for W(Ak) for positive integers k, and also for negative integers k if A−1 exists. Related inequalities on the numerical radius and the Crawford number are deduced.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
