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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Orthogonal sequences, Non-archimedean Frechet spaces

Citation

Bull. Belg. Math. Soc. 8 (2001), 109-118.

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Uniwersytet im. Adama Mickiewicza w Poznaniu
Biblioteka Uniwersytetu im. Adama Mickiewicza w Poznaniu
Ministerstwo Nauki i Szkolnictwa Wyższego