Complex symmetry of weighted composition operators on the Fock space
With the techniques of weighted composition operators, we introduce a new concept of general weighted composition conjugations on the Fock space F2(C) and completely solve the following problems: the description of weighted composition operators which are conjugations; the criteria for weighted comp...
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| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
2015
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/81337 http://hdl.handle.net/10220/39230 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | With the techniques of weighted composition operators, we introduce a new concept of general weighted composition conjugations on the Fock space F2(C) and completely solve the following problems: the description of weighted composition operators which are conjugations; the criteria for weighted composition operators to be complex symmetric; the spectrum and the point spectrum of complex symmetric operators; and the criteria for Schatten class membership as well as for normality of such operators. |
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