Department of Mathematics2024-11-0919990002-993910.1090/S0002-9939-99-04894-72-s2.0-22844454002http://dx.doi.org/10.1090/S0002-9939-99-04894-7https://hdl.handle.net/20.500.14288/7905In this paper we prove the following result: Let A be a nonunital Banach algebra with a bounded approximate identity. Then A cannot be both Arens regular and weakly sequentially complete. The paper also contains some applications of this result.MathematicsMathematical modelsJournal Article81959000013Q28791