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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Keywords
Schauder basis, bounded approximation property
Citation
Indag. Mathem., 11(4), 607-617