Won the China Youth Science and Technology Award and enjoyed the special allowance of the State Council; Excellent experts in Shanxi Province; The second sci-tech hero in Shanxi Province; Returned overseas students who have made outstanding contributions throughout the country; Model worker in Shanxi province; Excellent returned overseas students in Shanxi Province; National outstanding teachers; Winner of the National May 1st Labor Medal; National advanced workers; Super model worker in Shanxi province; The central government directly contacts experts. In mathematics, he mainly studies operator algebra, operator theory and their applications in infinite dimensional systems. In the aspect of educational economy, I mainly devote myself to dissecting and analyzing the special economic laws of higher education as an industry, such as capital operation mode, production mode, ownership, cost and price, product and quality, market and competition, and the dual characteristics of colleges and universities, trying to establish a microscopic educational economic theory.

His research results have been widely concerned by domestic and foreign peer experts, and the research group he led is called' Hou Group' by foreign peer experts. As American mathematician C. K. Li said in his letter to the American Embassy, Professor Hou Jinchuan is one of the active academic leaders in the research field of matrix and operator theory.

He has been engaged in the teaching and research of operator theory and operator algebra for a long time, and presided over the completion of 4 national natural science foundation and youth fund projects, 5 natural science foundation projects for returned overseas students in Shanxi Province, 2 projects for returned overseas students in the Ministry of Education, and 2 projects funded by key teachers in colleges and universities. Now he is in charge of the National Natural Science Foundation of China, the Natural Science Foundation of Shanxi Province and the 1 research project of returned students in Shanxi Province. In the research fields of invariant subspace problem, Putnam-Fuglede theorem, invariants of mapping on operator algebra, complement of missing operator matrix and its application in infinite dimensional linear systems, rich research results have been obtained. In particular, the recent research on the invariants of operator algebra and mapping on operator space has attracted the attention of peer experts at home and abroad. In J. Func Anal. J. math Anal. Application, interest. Equality. Opera. Theo. J. Opera. Theo. Lin. Malt wine. Applications. Mathematical research. ，Sys。 Contrast. Ritter. , China. He has published more than 50 academic papers 1 10 in important journals at home and abroad, such as Journal of Mathematics and Yearbook of Mathematics. Published monograph 1 department, translated 2 books, teaching aid 1 department. In addition, he also presided over the completion of three national and provincial educational economics and management research projects. He has published more than 10 papers in academic journals such as Education Research, China Higher Education Research and Productivity Research. As the first finisher, this scientific research achievement won the China Youth Science and Technology Award, Shanxi Young Scientist Award and Shanxi Science and Technology Progress Award twice.