Horn－Johnson定理的推广及其R．C．Thompson定理的简化证明

The Generalization of the Horn-Johnson Theorem and the Simplification of the Proof of the Thompson Theorem

本文首先推广了Ｒ．Ａ．Ｈｏｒｎ和Ｃ．Ｒ．Ｊｏｈｎｓｏｎ的一个奇异值不等式定理，从而简化证明了Ｒ．Ｃ．Ｔｈｏｍｐｓｏｎ定理。同时指出，Ｈｏｒｎ－Ｊｏｈｎｓｏｎ定理和Ｔｈｏｍｐｓｏｎ定理等价。

The paper first generalizes the R. A. Horn and C.R. Johnson theorem and simplifiesthe proof of the theorem of R. C. Thompson.