Abstract
Conditions such that a locally $k$-convex inductive limit of a sequence of $k_n$-normed algebras is a locally $m$-($k$-convex) algebra, are given. It is shown that every locally pseudoconvex inductive limit $E$ of a sequence of commutative locally $m$-pseudoconvex algebras is a commutative locally\break $m$-pseudoconvex algebra if the multiplication in $E$ is jointly continuous.
Citation
Reyna María Pérez-Tiscareño. Mati Abel. "Locally pseudoconvex inductive limit of sequences of locally pseudoconvex algebras." Banach J. Math. Anal. 9 (2) 276 - 288, 2015. https://doi.org/10.15352/bjma/09-2-18
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