| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9498211 | Linear Algebra and its Applications | 2005 | 16 Pages |
Abstract
We extend and refine a result of R. McEachin concerning 2Â ÃÂ 2 Toeplitz matrices. Even in the complex case, the Schur norm of such a matrix is equal to the total variation of an appropriately chosen representing measure. The measure may be supported on two or three points. From this phenomenon we derive formulas for the Schur norms of the matrices. We point out a connection with the extreme points of the unit ball in a certain function space.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Milan Hladnik, John Holbrook,