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


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).

DOI Code: 10.1285/i15900932v37n1p53

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

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