The approximation property of order $p$ in locally convex spaces

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Juan A. López Molina
We define the approximation property and the local approximation property of order $p>1$ of a locally convex space. We prove that, if $E=\underrightarrow\lim E_n$ is a regular inductive limit of Frechet spaces $E_n$ with the approximation property of order $p>1$, then $E$ has this property.

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López Molina, Juan A. “The approximation property of order $p$ in locally convex spaces”. Collectanea Mathematica, vol.VOL 37, no. 2, pp. 135-52, https://raco.cat/index.php/CollectaneaMathematica/article/view/56979.