Remarkable Hyperplanes in Locally Convex Spaces of Dimension at Most C
Canadian mathematical bulletin, Tome 24 (1981) no. 3, pp. 369-371

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Every locally convex space E of dimension at most c contains a hyperplane G with the following property: the linear hull of each bounded Banach disk in G is finite-dimensional.
Tsirulnikov, Bella. Remarkable Hyperplanes in Locally Convex Spaces of Dimension at Most C. Canadian mathematical bulletin, Tome 24 (1981) no. 3, pp. 369-371. doi: 10.4153/CMB-1981-056-7
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