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Título:
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Spaces of holomorphic functions and germs on quotients
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Autores:
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Ansemil, José María M. ;
Aron, Richard M. ;
Ponte, Socorro
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science Publ. B. V., 1992
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Tipo = Sección de libro
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Resumen:
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Let E be a complex locally convex space, F a closed subspace, and let ? be the canonical quotient mapping from E onto E/F. Let H(U) [resp. H(K)] be the set of holomorphic functions on the open set U of E [resp. the set of germs of holomorphic functions on the compact set K of E]. Let ?? be the mapping induced by ? from H(?(U)) [resp. H(?(K))] into H(U) [resp. H(K)].
?? is always continuous for the natural topologies; the aim of the paper is to give a survey of the results concerning when ?? is, or is not, an embedding.
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