ON ∞-COMPLEX SYMMETRIC OPERATORS

Muneo Chō; Eungil Ko; Ji Eun Lee

doi:10.1017/S0017089516000550

ON ∞-COMPLEX SYMMETRIC OPERATORS

Muneo Chō, Eungil Ko, Ji Eun Lee

Department of Mathematics

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

5 Scopus citations

Abstract

In this paper, we study spectral properties and local spectral properties of ∞-complex symmetric operators T. In particular, we prove that if T is an ∞-complex symmetric operator, then T has the decomposition property (δ) if and only if T is decomposable. Moreover, we show that if T and S are ∞-complex symmetric operators, then so is T-S.

Original language	English
Pages (from-to)	35-50
Number of pages	16
Journal	Glasgow Mathematical Journal
Volume	60
Issue number	1
DOIs	https://doi.org/10.1017/S0017089516000550
State	Published - 1 Jan 2018

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© 2017 Glasgow Mathematical Journal Trust.

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abstract = "In this paper, we study spectral properties and local spectral properties of ∞-complex symmetric operators T. In particular, we prove that if T is an ∞-complex symmetric operator, then T has the decomposition property (δ) if and only if T is decomposable. Moreover, we show that if T and S are ∞-complex symmetric operators, then so is T-S.",

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N2 - In this paper, we study spectral properties and local spectral properties of ∞-complex symmetric operators T. In particular, we prove that if T is an ∞-complex symmetric operator, then T has the decomposition property (δ) if and only if T is decomposable. Moreover, we show that if T and S are ∞-complex symmetric operators, then so is T-S.

AB - In this paper, we study spectral properties and local spectral properties of ∞-complex symmetric operators T. In particular, we prove that if T is an ∞-complex symmetric operator, then T has the decomposition property (δ) if and only if T is decomposable. Moreover, we show that if T and S are ∞-complex symmetric operators, then so is T-S.

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ON ∞-COMPLEX SYMMETRIC OPERATORS

Abstract

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