Simple proof of thep-hyponormality of the Aluthge transformation
✍ Scribed by M. Chō; Y. Nagano
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1999
- Tongue
- English
- Weight
- 156 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0378-620X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper the authors show that the Aluthge transformation T of a matrix T and a polynomial f satisfy the inclusion relation W C (f ( T )) ⊂ W C (f (T )) for the generalized numerical range if C is a Hermitian matrix or a rank-one matrix.
A very simple constructive proof of Lowdin's pairing theorem is presented.
The Delsarte inequalities for a code e are proved in two steps: The first inequality for e is derived by a Plotldn-type argument. Then the k-th inequality for C turns out to be :he first inequallty for another code whose codeword list is obtained by taking the sums of k columns from a codeword list