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Weak asymptotics for simultaneous Hermite Pade approximants are obtained for a system of Markov-type functions.

Relations betweeu homomorphisms on a real funetiorí algebra aud different properties (sucb as being inverse-closed and closed under bounded inversion) are studied.

We present a representation theory for the maximal ideal space of a real function algebra, endowed with the Gelfand topology, using the theory of uniform spaces. Application are given to algebras of differentiable functions in a normed space, improving and generalizing some known results.1991 Mathematics subject classification (Amer. Math. Soc): primary 46E25; secondary 16S60.