Some results on the space of holomorphic functions taking their values in b-spaces

Authors

  • M. T. Belghiti Universite Ibn Tofail, Facult ´ e des Sciences, D ´ epartement de Math ´ ematiques, Laboratoire ´ d’Analyse Fonctionnelle, Harmonique et Complexe, B.P. 133, Kenitra, Morocco
  • B. Aqzzouz Universite Ibn Tofail, Facult ´ e des Sciences, D ´ epartement de Math ´ ematiques, Laboratoire ´ d’Analyse Fonctionnelle, Harmonique et Complexe, B.P. 133, Kenitra, Morocco
  • H. Elalj Universite Ibn Tofail, Facult ´ e des Sciences, D ´ epartement de Math ´ ematiques, Laboratoire ´ d’Analyse Fonctionnelle, Harmonique et Complexe, B.P. 133, Kenitra, Morocco
  • R. Nouira Universite Ibn Tofail, Facult ´ e des Sciences, D ´ epartement de Math ´ ematiques, Laboratoire ´ d’Analyse Fonctionnelle, Harmonique et Complexe, B.P. 133, Kenitra, Morocco

DOI:

Keywords:

Holomorphic function, b-space, functor, category

Abstract

We define a space of holomorphic functions $O_{1}(U,E/F)$, where $U$ is an open pseudo-convex subset of $\Bbb{C}^{n}$, $E$ is a b-space and $F$ is a bornologically closed subspace of $E$, and we prove that the b-spaces $O_{1}(U,E/F)$ and $O(U,E)/O(U,F)$ are isomorphic.

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Published

2006-06-25

Issue

Vol. 12 No. 2 (2006)

Section

Articles

How to Cite

Belghiti, M. T., et al. “Some Results on the Space of Holomorphic Functions Taking Their Values in B-Spaces”. Methods of Functional Analysis and Topology, vol. 12, no. 2, June 2006, pp. 113-2, https://zen.imath.kiev.ua/index.php/mfat/article/view/306.