Reducing subspaces of multiplication operators on function spaces  

Reducing subspaces of multiplication operators on function spaces

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作  者:GUO Kun-yu HUANG Han-song 

机构地区:[1]School of Mathematical Sciences, Fudan University [2]Department of Mathematics, East China University of Science and Technology

出  处:《Applied Mathematics(A Journal of Chinese Universities)》2013年第4期395-404,共10页高校应用数学学报(英文版)(B辑)

摘  要:This survey presents the brief history and recent development on commutants and reducing subspaces of multiplication operators on both the Hardy space and the Bergman space, and von Neumann algebras generated by multiplication operators on the Bergman space.This survey presents the brief history and recent development on commutants and reducing subspaces of multiplication operators on both the Hardy space and the Bergman space, and von Neumann algebras generated by multiplication operators on the Bergman space.

关 键 词:reducing subspace COMMUTANT von Neumann algebra Blaschke product holomorphic covering map 

分 类 号:O177[理学—数学]

 

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