Abstract
In this paper, we study properties of operators which are power similar to complex symmetric operators. In particular, we prove that if T is power similar to a complex symmetric operator, then T is decomposable modulo a closed set (Formula Presented) if and only if R has the Bishop’s property (β) modulo S. Using the results, we get some applications of such operators.
| Original language | English |
|---|---|
| Pages (from-to) | 3577-3586 |
| Number of pages | 10 |
| Journal | Filomat |
| Volume | 33 |
| Issue number | 11 |
| DOIs | |
| State | Published - 2019 |
Bibliographical note
Funding Information:2010 Mathematics Subject Classification. Primary 47A11, Secondary 47A05 Keywords. Power similar; Complex symmetric operator; Local spectral theory. Received: 11 January 2019; Accepted: 26 June 2019 Communicated by Dragan S. Djordjević The first author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(2016R1D1A1B03931937). The second 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(2019R1A2C1002653). The third author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(NRF-2018R1A6A3A01010648). Email addresses: eiko@ewha.ac.kr (Eungil Ko), jieunlee7@sejong.ac.kr;jieun7@ewhain.net (Ji Eun Lee), meejung@ewhain.net (Mee-Jung Lee)
Publisher Copyright:
© 2019, University of Nis. All rights reserved.
Keywords
- Complex symmetric operator
- Local spectral theory
- Power similar