Dense lineability and algebrability of ℓ^{∞}∖𝑐₀

Papathanasiou, Dimitris

doi:10.1090/proc/15758

Dense lineability and algebrability of $\ell ^{\infty }\setminus c_0$
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by Dimitris Papathanasiou

Proc. Amer. Math. Soc. 150 (2022), 991-996

DOI: https://doi.org/10.1090/proc/15758

Published electronically: January 5, 2022

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Abstract:

We show that the set $\ell ^{\infty }\setminus c_0$ is maximal dense-lineable and densely strongly $\mathfrak {c}$-algebrable answering a question posed by Nestoridis and complementing a result by García-Pacheco, Martín and Seoane-Sepúlveda.

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