(Royal Netherlands Academy of Arts and Sciences, 2000-12) Śliwa, Wiesław
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).