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A newC *-algebra and its essential commutant |
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| Authors: | Jinshan Liu Yunxin Zhang Kunyu Guo |
| Institution: | (1) Institute of Mathematics, Fudan University, 200433 Shanghai, China |
| Abstract: | 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. |
| Keywords: | essential cammutant Toeplitz operator Hankel operator |
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