On the absence of stability of bases in some Fréchet spaces
| buir.contributor.author | Goncharov, Alexander | |
| dc.citation.epage | 768 | en_US |
| dc.citation.issueNumber | 4 | en_US |
| dc.citation.spage | 761 | en_US |
| dc.citation.volumeNumber | 46 | en_US |
| dc.contributor.author | Goncharov, Alexander | |
| dc.date.accessioned | 2021-02-27T19:41:34Z | |
| dc.date.available | 2021-02-27T19:41:34Z | |
| dc.date.issued | 2020-08 | |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | We show that, for each compact subset of the real line of infinite cardinality with an isolated point, the space of Whitney jets on the set does not possess a basis consisting only of polynomials. On the other hand, polynomials are dense in any Whitney space. Thus, there are no general results about stability of bases in Fréchet spaces. | en_US |
| dc.identifier.doi | 10.1007/s10476-020-0056-4 | en_US |
| dc.identifier.issn | 0133-3852 | |
| dc.identifier.uri | http://hdl.handle.net/11693/75631 | |
| dc.language.iso | English | en_US |
| dc.publisher | Springer Science and Business Media B.V. | en_US |
| dc.relation.isversionof | https://dx.doi.org/10.1007/s10476-020-0056-4 | en_US |
| dc.source.title | Analysis Mathematica | en_US |
| dc.subject | Polynomial base | en_US |
| dc.subject | Stability of bases | en_US |
| dc.subject | Topological base | en_US |
| dc.subject | Whitney space | en_US |
| dc.title | On the absence of stability of bases in some Fréchet spaces | en_US |
| dc.type | Article | en_US |
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