Maddox, Ivor J. Matrix transformations and convex spaces. (English) Zbl 0653.40003 Int. J. Math. Math. Sci. 11, No. 3, 585-588 (1988). Summary: 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. MSC: 40C05 Matrix methods for summability 40J05 Summability in abstract structures Keywords:R-convexity; matrix transformations; locally bounded spaces; sequential completeness PDFBibTeX XMLCite \textit{I. J. Maddox}, Int. J. Math. Math. Sci. 11, No. 3, 585--588 (1988; Zbl 0653.40003) Full Text: DOI EuDML