A characterization of binormal matrices

Eungil Ko; Hyun Kyoung Kwon; Ji Eun Lee

doi:10.1080/03081087.2017.1347134

A characterization of binormal matrices

Eungil Ko, Hyun Kyoung Kwon, Ji Eun Lee

Department of Mathematics

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

Abstract

We give a characterization of binormal operator matrices, and in particular, a description of n×n binormal Toeplitz matrices for n = 2, 3. Non-trivial examples of binormal matrices that are not normal are also provided.

Original language	English
Pages (from-to)	1215-1228
Number of pages	14
Journal	Linear and Multilinear Algebra
Volume	66
Issue number	6
DOIs	https://doi.org/10.1080/03081087.2017.1347134
State	Published - 3 Jun 2018

Bibliographical note

Funding Information:
The first author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education [grant number 2009-0093827]. The third author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science, and Technology [grant number 2016R1A2B4007035].

Publisher Copyright:
© 2017 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

Binormal operator matrix
Toeplitz matrix
normal matrix

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10.1080/03081087.2017.1347134

Cite this

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title = "A characterization of binormal matrices",

abstract = "We give a characterization of binormal operator matrices, and in particular, a description of n×n binormal Toeplitz matrices for n = 2, 3. Non-trivial examples of binormal matrices that are not normal are also provided.",

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author = "Eungil Ko and Kwon, {Hyun Kyoung} and Lee, {Ji Eun}",

note = "Funding Information: The first author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education [grant number 2009-0093827]. The third author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science, and Technology [grant number 2016R1A2B4007035]. Publisher Copyright: {\textcopyright} 2017 Informa UK Limited, trading as Taylor & Francis Group.",

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PY - 2018/6/3

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AB - We give a characterization of binormal operator matrices, and in particular, a description of n×n binormal Toeplitz matrices for n = 2, 3. Non-trivial examples of binormal matrices that are not normal are also provided.

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KW - Toeplitz matrix

KW - normal matrix

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ER -

A characterization of binormal matrices

Abstract

Bibliographical note

Keywords

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