On the stability of orthogonal bases in non-archimedean metrizable locally convex spaces
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Date
2001
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The Belgian Mathematical Society
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Abstract
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.
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Keywords
Orthogonal sequences, Non-archimedean Frechet spaces
Citation
Bull. Belg. Math. Soc. 8 (2001), 109-118.