Projective limits of weighted LB-spaces of holomorphic functions

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Abstract

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

Original languageEnglish
Pages (from-to)409-422
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Volume383
Issue number2
DOIs
Publication statusPublished - 15 Nov 2011

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