A new C~*-algebra and its essential commutant  

作　　者：Jinshan Liu Yunxin Zhang Kunyu Guo 

机构地区：[1]Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

出　　处：《Chinese Science Bulletin》1999年第3期204-207,共4页

摘　　要：A new C~* -algebra E+E_* is established. It contains the large Hankel algebra N^G produced by all Toeplitz operators and Hankel operators. It is the proper algebra of B (H^2) and its essential commutant is obtained, which is generated by those Toeplitz operators that have symmetric continuous function symbols and compact operators.A newC *-algebraE + E * is established. It contains the large Hankel algebra NG produced by all Toeplitz operators and Hankel operators. It is the proper algebra ofB(H 2) and its essential commutant is obtained, which is generated by those Toeplitz operators that have symmetric continuous function symbols and compact operators.

关 键 词：ESSENTIAL COMMUTANT TOEPLITZ OPERATOR HANKEL operator. 

分 类 号：O177.5[理学—数学]