Matrix transformations and convex spaces

I. J. Maddox

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-4

Abstract:

In a Hausdorff topological linear space we examine relations between r -convexity and a condition on matrix transformations between null sequences. In particular, for metrizable spaces the condition implies r -convexity. For locally bounded spaces the condition implies sequential completeness.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:410503

DOI: 10.1155/S0161171288000705

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