A study on the Kadison-Singer problem
| dc.contributor | Graduate Program in Mathematics. | |
| dc.contributor.advisor | Tanbay, Betül. | |
| dc.contributor.author | Arslan, İlker. | |
| dc.date.accessioned | 2023-03-16T11:21:36Z | |
| dc.date.available | 2023-03-16T11:21:36Z | |
| dc.date.issued | 2010. | |
| dc.description.abstract | Let H be a separable Hilbert space and B(H) be the space of all bounded linear operators on H. A state of a C -algebra is a positive linear functional of norm 1. An extreme point of the set of states is called a pure state. The Kadison-Singer problem asks whether every pure state of the space of the diagonal operators on H extends to a unique pure state or not. In this thesis, after understanding the Kadison-Singer problem, the article "A note on the Kadison-Singer problem" is discussed. This article concludes an interesting result that these extensions either lie in a nite dimensional subspace or contains a homeomorphic copy of N. | |
| dc.format.extent | 30cm. | |
| dc.format.pages | vii, 49 leaves; | |
| dc.identifier.other | MATH 2010 A77 | |
| dc.identifier.uri | https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15250 | |
| dc.publisher | Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2010. | |
| dc.subject.lcsh | Mathematics. | |
| dc.title | A study on the Kadison-Singer problem |
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