论文标题
Dronov和Kaplitzkii的论文中的exposé
Exposé on a paper of Dronov and Kaplitzkii
论文作者
论文摘要
Dronov和Kaplitzki表明，具有定期基础（$ d_1 $）的核Köthe空间E的每个补充子空间都有一个基础，因此，尤其是解决长期存在的问题，无论是否有任何迅速减少序列的空间互补的子空间（S）的序列序列的序列序列有基础。我们提出了他们的证明版本稍微修改的版本，该版本表明，$ e $中每个封闭式操作员的范围都有一个基础
Dronov and Kaplitzki showed that every complemented subspace of a nuclear Köthe space E with a regular basis of type ($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
