Finite rank multivariable Hankel forms
β Scribed by S.C. Power
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 408 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We give a different proof of Power'.,; several variables generalization o[" the wellknown Kronecker's result on tinitc rank Hankel matrices. This also leads to ~,, formula for the rank of a small Hankel operator on polydisk in terms of a certain degree of its rational symbol. ~.
Let H be an inΓΏnite Hankel matrix with hi+j-2 as its (i; j)-entry, h k = n l=1 r l z k l , k = 0; 1; : : : ; |z l | Β‘ 1, and r l ; z l β C. We derive upper bounds for the 2-condition number of H as functions of n, r l and z l , which show that the Hankel matrix H becomes well conditioned whenever th