Under which circumstances is the limit topology of an increasing sequence $E_0\subseteq E_1\subseteq E_2\subseteq\cdots$ of topological vector spaces, where the inclusion maps are linear and continuous, again a linear topology w.r.t. the linear space $\cup_i E_i$?
2026-03-27 04:17:47.1774585067
Limit topology of a sequence of topological vector spaces
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