Artykuły naukowe (WMiI)

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On the stability of orthogonal bases in non-archimedean metrizable locally convex spaces
(The Belgian Mathematical Society, 2001) Śliwa, Wiesław
It is proved that an orthogonal basis in a non-archimedean metrizable locally convex space E (in particular, a Schauder basis in a non-archimedean Frechet space E) is stable if and only if there is a continuous norm on E. Many others results are also obtained.