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Quaestiones Mathematicae

Article . 1985 . Peer-reviewed

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TOPOLOGICAL DECOMPOSITIONS OF THE DUALS OF LOCALLY CONVEX VECTOR SEQUENCE SPACES

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1985Publisher:Informa UK LimitedJournal:Quaestiones Mathematicae, volume 8, pages 299-313 (issn: 1607-3606, eissn: 1727-933X,

Authors: William H. Ruckle; Jan Fourie;

doi: 10.1080/16073606.1985.9631919

TOPOLOGICAL DECOMPOSITIONS OF THE DUALS OF LOCALLY CONVEX VECTOR SEQUENCE SPACES

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Abstract

ABSTRACT Let Λ be a scalar sequence space which is endowed with a normal locally convex topology. For a separated locally convex space E we denote by Λ(E) the vector space of all sequences g in E for which (>g(i),a x, f(i)<) e Λ; for all x e E, when E is barrelled. We conclude the paper by application of the results on vector sequence spaces to spaces of operators—including for instance, necessary and...

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