| Title: | A Hausdorff operator on Lebesgue spaces with commuting family of perturbation matrices is a non-riesz operator |
| Authors: | Mirotin, A.R. |
| Keywords: | Hausdorff operator Riesz operator quasinilpotent operator compact operator Lebesgue space |
| Issue Date: | 2020 |
| Citation: | Mirotin, A.R. A Hausdorff operator on Lebesgue spaces with commuting family of perturbation matrices is a non-riesz operator / A.R. Mirotin // Russian Journal of Mathematical Physics. - 2020. - №9. - P. [1-11]. |
| Abstract: | t We consider a generalization of Hausdorff operators on Lebesgue spaces and under natural conditions prove that such an operator is not a Riesz operator provided it is non-zero. In particular, it cannot be represented as a sum of a quasinilpotent and compact operators |
| URI: | http://elib.gsu.by/jspui/handle/123456789/40842 |
| Appears in Collections: | Статьи |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| A_HAUSDORFF_OPERATOR.pdf | 186.48 kB | Adobe PDF | View/Open |
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