Abstract
Our aim in this note is twofold. Firstly we show that, given any Kothe echelon space of order one, a weighted limit of Banach spaces of holomorphic functions on the disc can be constructed such that the strong dual of the sequence space is isomorphic to a complemented subspace of the projective hull associated with the weighted inductive limit. It is also proved that, under some mild assumptions, a weighted inductive limit of spaces of holomorphic functions is a - space (and hence the projective description holds) if and only if the associated weights satisfy the condition of Bierstedt, Meise and Summers.
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