Abstract
We show that a regular von Neumann $Q$-$m$-convex Frechet algebra is of finite dimension. We also show that a regular von Neumann $m$-convex Frechet algebra is a projective limit of finite dimensional algebras. Finally, we prove that a bilateral $Q$-$F$-algebra is a regular von Neumann algebra if and only if it is isomorphic to a finite product of algebras which are also fields.
Citation
Rachid Choukri. Abdellah El Kinani. Mohamed Oudadess. "On some von Neumann topological algebras." Banach J. Math. Anal. 3 (2) 55 - 63, 2009. https://doi.org/10.15352/bjma/1261086709
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