Examples of non-archimedean nuclear Frechet spaces without a Schauder basis

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Date

2000-12

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Royal Netherlands Academy of Arts and Sciences

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Abstract

We solve the problem of the existence of a Schauder basis in non-archimedean Frechet spaces of countable type. Using examples of real nuclear Frechet spaces without a Schauder basis we construct examples of non-archimedean nuclear Frechet spaces without a Schauder basis (even without the bounded approximation property).

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Schauder basis, bounded approximation property

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Indag. Mathem., 11(4), 607-617

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Creative Commons License

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