On polynomial numerical hulls of normal matrices
โ Scribed by Ch. Davis; A. Salemi
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 213 KB
- Volume
- 383
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The polynomial numerical hull of degree k for a square matrix A is a set designed to give useful information about the norms of polynomial functions of the matrix; it is defined as |p(z)| for all p of degree k or less}. While these sets have been computed numerically for a number of matrices, the
Six characterizations of the polynomial numerical hull of degree k are established for bounded linear operators on a Hilbert space. It is shown how these characterizations provide a natural distinction between interior and boundary points. One of the characterizations is used to prove that the polyn
In an earlier paper, the author developed a formula Ibr the trace class multiplier norm of a matrix of rank at most 2. In this article, applications of this formula are given. In the main result we suppose that .I"1 ..... .L and g~,... ,g,, are given sets of complex numbers. A description is given o