ConvergenceLF spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1993 Germany English Publisher:Springer Science and Business Media LLCJournal:Applied Categorical Structures, volume 1, pages 361-384 (issn: 0927-2852, eissn: 1572-9095,

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Authors: Beattie, Ronald; Butzmann, Heinz-Peter;

doi: 10.1007/bf00872941

ConvergenceLF spaces

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Abstract

In this paper we examineLF spaces, inductive limits of Frechet spaces, in two different settings: the categoryCV S of convergence vector spaces and the categoryLC S of locally convex topological vector spaces. Special attention is given to permanence properties and retractivity properties in each case. Some interaction between properties ofLF spaces inCV S and other properties inLC S are investigated.

Country

Germany

Related Organizations

University of Mannheim
Germany
Mount Allison University
Canada

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510

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