Projections of polynomial hulls
โ Scribed by H Alexander
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 322 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0022-1236
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