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arXiv · 2003.01072

Expos\'e on a paper of Dronov and Kaplitzkii

Dietmar Vogt
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Abstract

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

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Dietmar Vogt. 2020-03-02. Expos\'e on a paper of Dronov and Kaplitzkii. https://arxiv.org/abs/2003.01072

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