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Timeline for Minimal F-semi-norms

Current License: CC BY-SA 4.0

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Sep 20, 2023 at 13:39 comment added erz @JochenWengenroth For a collection $P$ of F-seminorms on $E$ consider the following convergence. A net $(e_i)$ converges to $0$ if for every $\rho\in P$ and $\varepsilon>0$ there is $\lambda\in P$ with $\lambda\le \rho$ and $i_0$ such that $\lambda(e_i)<\varepsilon$, for $i\ge i_0$. I want to show that any linear topology on $E$ can be described this way.
Sep 20, 2023 at 7:53 comment added Jochen Wengenroth Why do you want to know this? Ususally, the opposite property of a directed generating set of F-norms is convenient.
Sep 20, 2023 at 2:50 history asked erz CC BY-SA 4.0