Abstract
This is a synthetic presentation of several barrelledness notions, in locally convex algebras. These are characterized, as in locally convex spaces, via (algebra) seminorms. This approach reveals a new notion of barrelledness. The latter shows to be what is needed to have meaningful statements in locally uniformly convex algebras.
Citation
M. Haralampidou. M. Oudadess. L. Palacios. C. Signoret. "On different barrelledness notions in locally convex algebras." Bull. Belg. Math. Soc. Simon Stevin 22 (1) 25 - 38, march 2015. https://doi.org/10.36045/bbms/1426856855
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