Expos\'e on a paper of Dronov and Kaplitzkii
| Autor: | Vogt, Dietmar |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Dronov and Kaplitzki showed that every complemented subspace of a nuclear K\"othe space E with a regular basis of type ($d_1$) has a basis so, in particular, solving the long standing problem whether any complemented subspace of the space (s) of rapidly decreasing sequences has a basis. We present a slightly modified version of their proof which shows that the range of every closed-range operator in $E$ has a basis |
| Databáze: | arXiv |
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