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arXiv · 2102.11953

The subspace $c_0$ is not complemented in $ac_0$

Nikolai Avdeev
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Abstract

We prove that the subspace $c_0$ of sequences that converge to zero is not complemented in the space $ac_0$ of sequences that almost converge to zero. We proceed with applying the same approach to inclusion chain $c_0\subset A_0 \subset \ell_\infty$.

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Nikolai Avdeev. 2021-02-23. The subspace $c_0$ is not complemented in $ac_0$. https://arxiv.org/abs/2102.11953

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