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.identifier.other	MATH 2010 A77
dc.identifier.uri	http://digitalarchive.boun.edu.tr/handle/123456789/15250
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.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
dc.format.pages	vii, 49 leaves;