Abstract:
In the present paper a real and Jordan analogues of complex locally $C^{\ast}$-algebras are introduced. Their definitions and basic properties are discussed.
Key words:Haussdorf projective limits, $C^\ast$-algebras, real $C^\ast$-algebras, $JB$-algebras, locally $C^\ast$-algebras, real locally $C^\ast$-algebras, locally $JB$-algebras.