The finite sum of finite products of Toeplitz operators on the polydisk |
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| Authors: | Xuanhao Ding |
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| Institution: | Department of Computing Science and Mathematics, Guilin Institute of Electronic Technology, 541004, People's Republic of China |
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| Abstract: | A limit theorem is established for a finite sum of finite products of Toeplitz operators on the Hardy space of the polydisk. As a consequence we show that the product of six Toeplitz operators with pluriharmonic symbols is compact iff the product equals zero iff one of these Toeplitz operators equals zero. |
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| Keywords: | Toeplitz operators Compact operators Semi-commutators Polydisk |
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