Closed subspaces without Schauder bases in non-archimedean Frechet spaces
dc.contributor.author | Śliwa, Wiesław | |
dc.date.accessioned | 2011-03-07T11:35:33Z | |
dc.date.available | 2011-03-07T11:35:33Z | |
dc.date.issued | 2001-06 | |
dc.description.abstract | Let E be an infinite-dimensional non-archimedean Frechet space which is not isomorphic to any of the following spaces: $c_0,c_0 x K^N,K^N$. It is proved that E contains a closed subspace without a Schauder basis (even without a strongly finite-dimensional Schauder decomposition). Conversely, it is shown that any closed subspace of $c_0 x K^N$ has a Schauder basis. | pl_PL |
dc.identifier.citation | Indag. Mathem., (N.S.), 12(2),261-271. | pl_PL |
dc.identifier.uri | http://hdl.handle.net/10593/926 | |
dc.language.iso | en | pl_PL |
dc.publisher | Royal Netherlands Academy of Arts and Sciences | pl_PL |
dc.title | Closed subspaces without Schauder bases in non-archimedean Frechet spaces | pl_PL |
dc.type | Article | pl_PL |