Abstract
This corrigendum and addendum is written to correct the statement and proof of the main result of El Kinani et al. (Rend Circ Mat Palermo 56(2):185–197, 2007). We add Proposition 2.1 which states that every locally m-convex probilateral algebra is actually normal. Thus, in all results of El Kinani et al. (Rend Circ Mat Palermo 56(2):185–197, 2007), where the algebras considered are bilateral, the normality hypothesis is redundant.
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References
El Kinani, A., Najmi, A., Oudadess, M.: Advertibly complete locally \(m\)-convex two-sided algebras. Rend. Circ. Mat. Palermo 56(2), 185–197 (2007)
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El Kinani, A., Choukri, R. & Najmi, A. Corrigendum and Addendum to “Advertibly complete locally m-convex two-sided algebras”. Rend. Circ. Mat. Palermo, II. Ser 67, 477–480 (2018). https://doi.org/10.1007/s12215-017-0326-6
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DOI: https://doi.org/10.1007/s12215-017-0326-6
Keywords
- Two-sided algebras
- Probilateral algebras
- Almost commutative algebras
- Topological algebras
- Normal algebras
- Advertibly complete l.m.c.a.