Biblioteca de la Universidad Complutense de Madrid

Embeddings of spaces of holomorphic functions of bounded type

Impacto



Ansemil, José María M. y Aron, Richard M. y Ponte, Socorro (1992) Embeddings of spaces of holomorphic functions of bounded type. Journal of the London Mathematical Society. Second Series, 46 (3). pp. 482-490. ISSN 0024-6107

URL Oficial: http://jlms.oxfordjournals.org/content/s2-46/3/482.full.pdf+html




Resumen

Let U be an open subset of a complex locally convex space E, let F be a closed subspace of E, and let PI:E --> E/F be the canonical quotient mapping. In this paper we study the induced mapping PI*, taking f is-an-element-of H(b)(PI(U))--> f circle PI is-an-element-of H(b)(U), where H(b)(V) denotes the space of holomorphic functions of bounded type on an open set V. We prove that this mapping is an embedding when E is a Frechet-Schwartz space, and that it is not an embedding for certain subspaces F of every Frechet-Montel, not Schwartz, space. We provide several examples in the case where E is a Banach space to illustrate the sharpness of our results.


Tipo de documento:Artículo
Palabras clave:space of holomorphic functions of bounded type on an open set; embedding; Fréchet-Schwartz space
Materias:Ciencias > Matemáticas > Topología
Código ID:16817
Depositado:23 Oct 2012 08:20
Última Modificación:09 Dic 2013 17:45

Sólo personal del repositorio: página de control del artículo