## Gelfand-Mazur algebras.(English)Zbl 0840.46029

Lau, Anthony To-Ming (ed.) et al., Topological vector spaces, algebras and related areas. Proceedings of the international conference, held at McMaster University, Hamilton, Canada during May 2-6, 1994 in honor of Dr. Taqdir Husain on the occasion of his retirement. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 316, 116-129 (1994).
Summary: It is known that all exponentially galbed algebras, all locally pseudoconvex Waelbroeck algebras, all locally $$A$$-pseudoconvex algebras (in particular, all locally $$m$$-pseudoconvex algebras) and all locally pseudoconvex Fréchet algebras are Gel’fand-Mazur algebras. In the present paper, we give several equivalent conditions for a topological algebra to be a Gel’fand-Mazur algebra. The case of non-associative topological algebras is considered separately. Several classes of Jordan Gel’fand-Mazur algebras are presented.
For the entire collection see [Zbl 0817.00016].

### MSC:

 46H05 General theory of topological algebras 46H70 Nonassociative topological algebras