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Guoxing Ji--On some partial orders on B(H)
发布人:吴劲松  发布时间:2018-11-26   浏览次数:14

Title: On some partial orders on B(H)


Speaker: Guoxing Ji, School  of Mathematics and  Information  Science, Shaanxi Normal University



Abstract: In this talk, we discuss the star partial order and the diamond order on a von Neumann algebra  on a Hilbert space H. We consider  some properties on these orders. In particular,  we give    star partial order-hereditary subspaces in  a von Neumann algebra. We also characterize the automorphism of the unit interval under the diamond order. Meanwhile, we consider supremum as well as infimum of a  bounded subset on these orders.

 



Time: 10:00-11:00, 29, Nov, 2018. Place: Room 503, Gewu Building(格物楼)