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INICIO |
27 de julio de 2024
Homomorphisms on some function algebras.
| Título inglés | Homomorphisms on some function algebras. |
|---|---|
| Título español | Homomorfismos sobre algunas álgebras de funciones. |
| Autor/es | Garrido, M.ª Isabel ; Gómez Gil, Javier ; Jaramillo, Jesús Angel |
| Organización | Dep. Mat. Univ. Extremadura, Badajoz, España;Dep. Anál. Mat. Univ. Complut. Madrid, Madrid, España |
| Revista | 0213-8743 |
| Publicación | 1992, 7 (1): 46-52, 20 Ref. |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | Suppose that A is an algebra of continuous real functions defined on a topological space X. We shall be concerned here with the problem as to whether every nonzero algebra homomorphism φ: A → R is given by evaluation at some point of X, in the sense that there exists some a in X such that φ(f) = f(a) for every f in A. The problem goes back to the work of Michael [19], motivated by the question of automatic continuity of homomorphisms in a symmetric *-algebra. More recently, the problem has been considered by several authors, mainly in the case of algebras of smooth functions: algebras of differentiable functions on a Banach space in [2], [11], [13] and [14]; algebras of differentiable functions on a locally convex space in [3], [4], [5] and [6], and algebras of smooth functions in the abstract context of smooth spaces in [18]. We shall be interested both in the general case and in the case of functions on a Banach space. This report is based on the results obtained in [8]. |
| Clasificación UNESCO | 120203 |
| Palabras clave español | Algebra de funciones ; Homomorfismos ; Anillos de funciones ; Funcionales multiplicativos |
| Código MathReviews | MR1203441 |
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