Remark on complex symmetric operator matrices

Eungil Ko; Ji Eun Lee

doi:10.1080/03081087.2018.1450350

Remark on complex symmetric operator matrices

Eungil Ko, Ji Eun Lee

Department of Mathematics

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

11 Scopus citations

Abstract

In this paper, we study conjugation matrices and complex symmetric operator matrices. In particular, we investigate conditions for 2 * 2 operator matrices to be conjugations or complex symmetric on H+H. Using these results, we provide examples of conjugation matrices and complex symmetric operators. Finally, we apply the main results to block Toeplitz operators and completion problems.

Original language	English
Pages (from-to)	1198-1216
Number of pages	19
Journal	Linear and Multilinear Algebra
Volume	67
Issue number	6
DOIs	https://doi.org/10.1080/03081087.2018.1450350
State	Published - 3 Jun 2019

Bibliographical note

Publisher Copyright:
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

47B15
Conjugation matrices
Primary: 47A05
Secondary: 47B35
block Toeplitz operators
complex symmetric operator matrices

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10.1080/03081087.2018.1450350

Cite this

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AB - In this paper, we study conjugation matrices and complex symmetric operator matrices. In particular, we investigate conditions for 2 * 2 operator matrices to be conjugations or complex symmetric on H+H. Using these results, we provide examples of conjugation matrices and complex symmetric operators. Finally, we apply the main results to block Toeplitz operators and completion problems.

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KW - Conjugation matrices

KW - Primary: 47A05

KW - Secondary: 47B35

KW - block Toeplitz operators

KW - complex symmetric operator matrices

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JO - Linear and Multilinear Algebra

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ER -

Remark on complex symmetric operator matrices

Abstract

Bibliographical note

Keywords

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