Projective limits of weighted LB-spaces of holomorphic functions |
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Authors: | Sven-Ake Wegner |
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Institution: | Fachbereich C - Mathematik und Naturwissenschaften, Arbeitsgruppe Funktionalanalysis, Bergische Universität Wuppertal, Gaußstraße 20, D-42097 Wuppertal, Germany |
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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. |
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Keywords: | PLB-space Derived projective limit functor Weighted space |
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