Riegraf, Mark Robin (2020) Tsirelson's space. Bachelor's Thesis, Mathematics.
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Abstract
Banach spaces are an important part of functional analysis. Even though playing a central role in the field, for over forty years only infinite-dimensional Banach spaces containing spaces isomorphic to c0 or lp, for finite p<=1, were known. In 1974, the Russian-Israeli mathematician B.S. Tsirelson introduced a space containing neither of them. Since then, several variations such a space have been created and the findings are used for example for proving certain distortion theorems. In this bachelor's project, we will follow Tsirelson's original construction of the space in greater detail and prove parts that Tsirelson omitted in his paper. Additionally, we will mention one of the variants arising from the original space and point out differences of their construction and properties.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Supervisor name: | Sterk, A.E. |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 30 Mar 2020 09:32 |
| Last Modified: | 30 Mar 2020 09:32 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/21700 |
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