Approximation numbers for polynomials
- Approximation numbers of linear operators are a very useful tool in order to understand the structure and the numerical behaviour of the operators. In this paper, this concept is extended to polynomials on Banach spaces and the approximation numbers of diagonal polynomials are estimated. As a main tool the rank of polynomials as a graduation of finite type polynomials is introduced and studied.
| Author details: | Heinz Junek, Hans-Andreas Braunß, Eckart Plewnia |
|---|---|
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2000 |
| Publication year: | 2000 |
| Release date: | 2017/03/24 |
| Source: | Finite or infinite dimensional complex analysis : proceedings of the seventh Internatonal Colloquium / Hrsg.: Joji Kajiwara ; Zhong Li ; Kwang Ho Shon. - New York : Dekker, 2000. - (Lecture notes in pure and applied mathematics ; 214). - S. 35 - 46 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
