Bourbaki

Exercise 9, § 6

Tag 02FC, permanent. Cite it as [Bourbaki, Tag 02FC].

Spectral Theories, I, p. 181

Let AA be a unital Banach algebra. The group of unitary elements of AA is a maximal bounded subgroup of A∗A^*.

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Machine translation of the English, by gpt-5-mini. Not checked by a person. That model is a cut down version of the one the rest of this language was written by.