Generalized hermitian operators |
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Authors: | Shanli Sun |
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Institution: | Key Laboratory of Mathematics, Informatics and Behavioral Semantics, Ministry of Education School of Mathematics and Systems Science, Beijing University of Aeronautics and Astronautics, Beijing 100191, PR China |
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Abstract: | In this paper, the concept of generalized hermitian operators defined on a complex Hilbert space is introduced. It is shown that the spectrums and the Fredholm fields of generalized hermitian operators are both symmetric with respect to the real axis. Some other results on generalized hermitian operators are obtained. |
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Keywords: | 47B15 47A10 47A15 |
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