The separable quotient problem and the strongly normal sequences
dc.contributor.author | Śliwa, Wiesław | |
dc.date.accessioned | 2013-02-03T19:41:03Z | |
dc.date.available | 2013-02-03T19:41:03Z | |
dc.date.issued | 2012 | |
dc.description.abstract | We study the notion of a strongly normal sequence in the dual $E^*$ of a Banach space $E$. In particular, we prove that the following three conditions are equivalent: (1) $E$ has a strongly normal sequence, (2) $(E^*;\sigma (E ^*;E))$ has a Schauder basic sequence, (3) $E$ has an infinite-dimensional separable quotient. | pl_PL |
dc.identifier.citation | J. Math. Soc. Japan, 64(2012), 387-397 | pl_PL |
dc.identifier.uri | http://hdl.handle.net/10593/4297 | |
dc.language.iso | en | pl_PL |
dc.title | The separable quotient problem and the strongly normal sequences | pl_PL |
dc.type | Article | pl_PL |