MATHEMATICA BOHEMICA, Vol. 132, No. 3, pp. 237-241, 2007

Homomorphisms between algebras of holomorphic functions in infinite dimensional spaces

Luciano O. Condori, M. Lilian Lourenco

L. O. Condori, ICET, Universidade Paulista - CEP: 06500-000 Sao Paulo, Brazil, e-mail: lch@ime.usp.br; M. L. Lourenco, Departamento de Matematica, Universidade de Sao Paulo, CP 66281 - CEP: 05315-970 Sao Paulo, Brazil, e-mail: mllouren@ime.usp.br

Abstract: It is shown that a homomorphism between certain topological algebras of holomorphic functions is continuous if and only if it is a composition operator.

Keywords: holomorphic function, continuous homomorphism

Classification (MSC 2000): 46G20, 46E15, 47B33

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