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

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