Bulletin of the Belgian Mathematical Society - Simon Stevin

Quasinormable weighted Fréchet spaces of entire functions

Elke Wolf

Source: Bull. Belg. Math. Soc. Simon Stevin Volume 16, Number 2 (2009), 351-360.

Abstract

We give a characterization of quasinormable weighted Fr\'echet spaces of entire functions under the assumption that the system of weights belongs to the class $(E)_{a,A}$ of Bierstedt-Bonet-Taskinen.

Primary Subjects: 46E10
Secondary Subjects: 46A04, 46A13
Keywords: Fréchet spaces; weighted spaces of holomorphic functions; quasinormable spaces

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Permanent link to this document: http://projecteuclid.org/euclid.bbms/1244038145


2009 © The Belgian Mathematic Society

Bulletin of the Belgian Mathematical Society - Simon Stevin

Bulletin of the Belgian Mathematical Society - Simon Stevin