Projective limits of weighted LB-spaces of holomorphic functions

摘要

Countable projective limits of countable inductive limits, called PLB-spaces,of weighted Banach spaces of continuous functions have recently beeninvestigated by Agethen, Bierstedt and Bonet. We extend their investigation tothe case of holomorphic functions regarding the same type of questions, i.e. weanalyze locally convex properties in terms of the defining double sequence ofweights and study the interchangeability of projective and inductive limit.