Algebry operatorów i ich zastosowania w fizyce
sala 2.23, ul. Pasteura 5
Paweł Kasprzak (KMMF)
O problemie Kadisona-Singera
On the Kadison-Singer problem
We give a gentle introduction to the famous Kadison-Singer problem formulated in 1959. The problem is whether every pure state on the algebra of bounded diagonal operators has a unique extension to a state on the algebra of all bounded operators. It was solved positively in 2013 by Marcus, Spielman and Srivastava.