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http://hdl.handle.net/10662/12361
| Title: | Approximation by polynomials in a weighted space of infinitely differentiable unctions with an application to hypercyclicity |
| Authors: | Musin, I. Kh. |
| Keywords: | Hypercyclic operators;Polynomial approximation;Operadores hipercíclicos;Aproximación polinomial |
| Issue Date: | 2012 |
| Publisher: | Universidad de Extremadura |
| Abstract: | A space of infinitely differentiable functions defined on an open cone of Rn and of prescribed growth near the boundary of the cone and at infinity is considered. The problem of polynomial approximation in this space is studied. It is shown that every linear continuous operator on this space that commutes with each partial derivative operator and is not a scalar multiple of the identity is hypercyclic. |
| Description: | This work was supported by the grants RFBR 11-01-00572, 11-01-97019 |
| URI: | http://hdl.handle.net/10662/12361 |
| Appears in Collections: | Extracta Mathematicae Vol. 27, nº 1 (2012) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_27_1_75.pdf | 136,94 kB | Adobe PDF | View/Open |
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