Lambda-compact operators as a surjective hull of certain nuclear operators
| dc.contributor.advisor | Lissitsin, Aleksei, juhendaja | |
| dc.contributor.author | Taveter, Triin | |
| dc.contributor.other | Tartu Ülikool. Loodus- ja täppisteaduste valdkond | et |
| dc.contributor.other | Tartu Ülikool. Matemaatika ja statistika instituut | et |
| dc.date.accessioned | 2019-09-23T09:32:45Z | |
| dc.date.available | 2019-09-23T09:32:45Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | In this master’s thesis we introduce nuclear operators defined by a triplet of sequence spaces extending both the (r; p; q)-nuclear operators of Pietsch [Pie80, Chapter 18] as well as lambda-nuclear operators of Ramanujan [Ram70]. This enables us to represent lambda-compact operators introduced by Bhar and Gupta [GB13] as the surjective hull of a certain quasi-Banach operator ideal (following the ideas of [ALO12] and [Pie14]). This, in particular, yields that lambda-compact operators themselves form a quasi-Banach operator ideal given some modest requirements on the sequence space lambda. | en |
| dc.identifier.uri | http://hdl.handle.net/10062/65278 | |
| dc.language.iso | eng | en |
| dc.publisher | Tartu Ülikool | et |
| dc.rights | embargoedAccess | et |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ee/ | |
| dc.subject | nuclear operators | en |
| dc.subject | master's theses | en |
| dc.subject | compact operators | en |
| dc.subject | sequence spaces | en |
| dc.subject | operator ideals | en |
| dc.title | Lambda-compact operators as a surjective hull of certain nuclear operators | en |
| dc.type | Thesis | en |