主講人：Professor M. S. Moslehian，Ferdowsi University of Mashhad
主講人介紹：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.
內容介紹：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.