主讲人:Professor M. S. Moslehian,Ferdowsi University of Mashhad
时间:2019年6月6日15:00
地点:3号楼三楼报告厅332室
举办单位:数理学院
主讲人介绍:Mohammad Sal Moslehian is a (full-time) professor of mathematics at Ferdowsi University of Mashhad. He received a Master of Science degree in 1991 and a Doctor of Science degree in 1999.
内容介绍:Douglas Theorem on equivalence of factorization, range inclusion, and majorization of operators states that if A and B are in the algebra of bounded linear operators on a Hilbert space H, then the following statements are equivalent: (i) R(A)⊆R(B); (ii) A = BC for some C∈B(H ); (iii) AA≤ kBBfor some k ≥ 0. In this talk, we investigate some generalizations, variants, and consequences of this theorem in various settings including Hilbert C-modules.