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Matrix transformations and convex spaces

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  • I. J. Maddox

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.

Suggested Citation

  • I. J. Maddox, 1988. "Matrix transformations and convex spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 11, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:410503
    DOI: 10.1155/S0161171288000705
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