On power similarity of complex symmetric operators

Eungil Ko; Ji Eun Lee; Mee Jung Lee

doi:10.2298/FIL1911577K

On power similarity of complex symmetric operators

Eungil Ko, Ji Eun Lee, Mee Jung Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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	https://doi.org/10.2298/FIL1911577K
State	Published - 2019

Bibliographical note

Publisher Copyright:
© 2019, University of Nis. All rights reserved.

Keywords

Complex symmetric operator
Local spectral theory
Power similar

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10.2298/FIL1911577K

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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{\textquoteright}s property (β) modulo S. Using the results, we get some applications of such operators.",

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AU - Lee, Ji Eun

AU - Lee, Mee Jung

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AB - 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.

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KW - Local spectral theory

KW - Power similar

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On power similarity of complex symmetric operators

Abstract

Bibliographical note

Keywords

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