Abstract
In this paper we study the spectral properties of (m, C)-isometric operators. In particular, if \(T\in \mathcal{{L(H)}}\) is (m, C)-isometric operators, then the power of (m, C)-isometric operators is also (m, C)-isometric operators. Moreover, if \(T^{*}\) has the single-valued extension property, then T has the single-valued extension property. Finally, we investigate conditions for (m, C)-isometric operators to be (1, C)-isometric operators.
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The authors wish to thank the referee for a careful reading and valuable comments for the original draft.
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Communicated by Dr. Scott McCullough.
This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (2009-0083521). The third author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2012R1A1A3006841) and this research is partially supported by Grant-in-Aid Scientific Research No. 15K04910.
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Chō, M., Ko, E. & Lee, J.E. On (m, C)-Isometric Operators. Complex Anal. Oper. Theory 10, 1679–1694 (2016). https://doi.org/10.1007/s11785-016-0549-0
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DOI: https://doi.org/10.1007/s11785-016-0549-0