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Conditions Implying Self-adjointness of Operators |
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| Authors: | In Ho Jeon In Hyoun Kim Kotaro Tanahashi Atsushi Uchiyama |
| Institution: | (1) Department of Mathematics Education, Seoul National University of Education, Seoul, 137-742, Korea;(2) Department of Mathematics, University of Incheon, Incheon, 402-749, Korea;(3) Department of Mathematics, Tohoku Pharmaceutical University, Sendai 981-8558, Japan;(4) Department of Mathematics, Sendai National College of Technology, Sendai 989-3124, Japan |
| Abstract: | In this paper, we show that if  is a quasi-class A operator and S is an arbitrary operator for which  and ST = T*S, then T is self-adjoint, and we also show that quasisimilar quasi-class A operators have equal spectra and essential spectra.
This work of the second author was supported by the University of Incheon Research Grant in 2008. |
| Keywords: | " target="_blank"> Self-adjoint operator class A operator quasi-class A operator quasisimilar essential spectrum |
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