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Akkar, M.; Beddad, A.; Oudadess, M.

**Les algèbres bornologiques stellaires. (Bornological *-algebras).** (French) Zbl 0727.46033

Libertas Math. 9, 81-100 (1989).

The authors study with an involution and with a norm of *-algebra which is not necessarily complete. They get Gelfand-Naimark type representations and a continuous . Several examples are presented.

Reviewer: G.Corach (Buenos Aires)

MSC:

46K99	Topological (rings and) algebras with an involution
46K10	Representations of topological algebras with involution
46H30	Functional calculus in topological algebras
46K05	General theory of topological algebras with involution
46A17	Bornologies and related structures; Mackey convergence, etc.

Keywords:

homological algebras with an involution; *-algebra; Gelfand-Naimark type representations; continuous functional calculus

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