The Bounded Approximation Property for the Weighted (LB)-Spaces of Holomorphic Mappings on Banach Spaces

Authors

  • Manjul Gupta
  • Deepika Baweja

DOI:

https://doi.org/10.1285/i15900932v37n1p53

Keywords:

(LB)-spaces, weighted spaces of holomorphic functions, bounded approximation property, H\"{o}rmander algebras

Abstract

In this paper, we consider the bounded approximation property for the weighted (LB)-spaces $VH(E)$ and $VH_0(E)$ of entire functions defined corresponding to a decreasing family $V$ of weights on a Banach space $E$. For a suitably restricted family $V$ of weights, the bounded approximation property for a Banach space $E$ has been characterized in terms of the bounded approximation property for the space $VG(E)$, the predual of the space $VH(E)$.

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Published

28-11-2017

Issue

Volume 37, Issue 1 (2017)

Section

Articoli

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