Abstract
In this paper, we study properties and structures of n-power quasinormal operators. In particular, we show that every n-power quasinormal operator satisfies some local spectral properties. Finally, we consider the n-power quasinormality of operator matrices.
| Original language | English |
|---|---|
| Pages (from-to) | 3371-3381 |
| Number of pages | 11 |
| Journal | Filomat |
| Volume | 37 |
| Issue number | 11 |
| DOIs | |
| State | Published - 2023 |
Bibliographical note
Funding Information:2020 Mathematics Subject Classification. Primary 47A50; Secondary 47A63, 47B20. Keywords. n-power qusinormal operator; Local spectral property; Operator transform. Received: 25 January 2022; Accepted: 05 September 2022 Communicated by Dragan S. Djordjević The first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government(MSIT) (2019R1F1A1058633) and Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2019R1A6A1A11051177). The second author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2019R1A6A1A11051177) and (2020R1I1A1A01064575). * Corresponding author. These authors contributed equally to this work. Email addresses: [email protected] (Eungil Ko), [email protected]; [email protected] (Mee-Jung Lee)
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© 2023, University of Nis. All rights reserved.
Keywords
- Local spectral property
- n-power qusinormal operator
- Operator transform