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.