Bombal Gordón, Fernando2023-06-212023-06-2119690016-3805https://hdl.handle.net/20.500.14352/64725The author proves that a metrizable locally convex space E is a normable space if and only if there exists a scalar 1 such that the linear mapping x→1x from E to E is contractive for every metric compatible with the topology of E .spajournal articlehttp://dmle.cindoc.csic.es/pdf/GACETAMATEMATICA_1969_21_5-6_02.pdfhttp://dmle.cindoc.csic.es/open access517.982.22Normed linear spacesBanach spacesTopología1210 Topología