On m-Complex Symmetric Operators

Muneo Chō; Eungil Ko; Ji Eun Lee

doi:10.1007/s00009-015-0597-0

On m-Complex Symmetric Operators

Muneo Chō
, Eungil Ko
, Ji Eun Lee

Department of Mathematics

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

28 Scopus citations

Abstract

In this paper, we study the spectral properties of m-complex symmetric operators. In particular, we prove that if T is m-complex symmetric with conjugation C, then Tⁿ is also m-complex symmetric with conjugation C for any n∈ N. Moreover, if T is m-complex symmetric with conjugation C, then T is decomposable if and only if T^* has the property (β). As some applications, we give several examples of m-complex symmetric operators with conjugation C.

Original language	English
Pages (from-to)	2025-2038
Number of pages	14
Journal	Mediterranean Journal of Mathematics
Volume	13
Issue number	4
DOIs	https://doi.org/10.1007/s00009-015-0597-0
State	Published - 1 Aug 2016

Bibliographical note

Publisher Copyright:
© 2015, Springer Basel.

Keywords

Decomposable
Single-valued extension property
m-Complex symmetric operator

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abstract = "In this paper, we study the spectral properties of m-complex symmetric operators. In particular, we prove that if T is m-complex symmetric with conjugation C, then Tn is also m-complex symmetric with conjugation C for any n∈ N. Moreover, if T is m-complex symmetric with conjugation C, then T is decomposable if and only if T* has the property (β). As some applications, we give several examples of m-complex symmetric operators with conjugation C.",

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N2 - In this paper, we study the spectral properties of m-complex symmetric operators. In particular, we prove that if T is m-complex symmetric with conjugation C, then Tn is also m-complex symmetric with conjugation C for any n∈ N. Moreover, if T is m-complex symmetric with conjugation C, then T is decomposable if and only if T* has the property (β). As some applications, we give several examples of m-complex symmetric operators with conjugation C.

AB - In this paper, we study the spectral properties of m-complex symmetric operators. In particular, we prove that if T is m-complex symmetric with conjugation C, then Tn is also m-complex symmetric with conjugation C for any n∈ N. Moreover, if T is m-complex symmetric with conjugation C, then T is decomposable if and only if T* has the property (β). As some applications, we give several examples of m-complex symmetric operators with conjugation C.

KW - Decomposable

KW - Single-valued extension property

KW - m-Complex symmetric operator

UR - https://www.scopus.com/pages/publications/84931858220

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JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

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ER -

On m-Complex Symmetric Operators

Abstract

Bibliographical note

Keywords

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