Douglas Theorem and its variants

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.