On numerical ranges of the compressions of normal matrices
โ Scribed by Maria Adam
- Book ID
- 108051945
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 345 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
A normal form is derived for finite sets of doubly commuting matrices, under simultaneous unitary similarity. The matrices need not be normal, but they commute with each other and with the adjoints of each other. The normal form is further used to study joint numerical ranges of doubly commuting mat
We show that an n-by-n companion matrix A can have at most n line segments on the boundary NW (A) of its numerical range W(A), and it has exactly n line segments on NW (A) if and only if, for n odd, A is unitary, and, for n even, A is unitarily equivalent to the direct sum A 1 โ A 2 of two (n/2)-by-