Título: | Algebrability of the set of everywhere surjective functions on C |
Autores: | Aron, Richard M. ; Seoane-Sepúlveda, Juan B. |
Tipo de documento: | texto impreso |
Editorial: | Belgian Mathematical Soc Triomphe, 2007 |
Dimensiones: | application/pdf |
Nota general: | info:eu-repo/semantics/restrictedAccess |
Idiomas: | |
Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores , Tipo = Artículo |
Resumen: | We show that the set L of complex-valued everywhere surjective functions on C is aJgebrable. Specifically, L contains an infinitely generated algebra every non-zero element of which is everywhere surjective. We also give a technique to construct, for every n is an element of N, n algebraically independent everywhere surjective functions, f(1), f(2),..., f(n), so that for every non-constant polynomial P is an element of C[z(1), z(2),...,z(n)], P(f(1), f(2),...f(n)) is also everywhere surjective. |
En línea: | https://eprints.ucm.es/id/eprint/20081/1/Seoane40.pdf |
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