Characterizations of a Complex Symmetric Truncated Backward Shift Type Operator Matrix and its Transforms

Chafiq Benhida; Muneo Chō; Eungil Ko; Ji Eun Lee

doi:10.1007/s00025-022-01786-2

Characterizations of a Complex Symmetric Truncated Backward Shift Type Operator Matrix and its Transforms

Chafiq Benhida, Muneo Chō, Eungil Ko, Ji Eun Lee

Department of Mathematics

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

Abstract

In this paper we study characterizations of a complex symmetric truncated shift type operator matrix and the Aluthge transform, the Duggal transform, the mean transform, and the generalized mean transform of such an operator matrix T (see (2.1) or (2.2)). As some applications of our main results, we give several examples of truncated shift type operator matrices.

Original language	English
Article number	13
Journal	Results in Mathematics
Volume	78
Issue number	1
DOIs	https://doi.org/10.1007/s00025-022-01786-2
State	Published - Feb 2023

Bibliographical note

Funding Information:
These authors contributed equally to this work. The first named author was partially supported by Labex CEMPI (ANR-11-LABX-0007-01). The second author is partially supported by Grant-in-Aid Scientific Research No. 15K04910. The third author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2019R1F1A1058633). The fourth author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (MSIT) (No. 2022R1H1A2091052).

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

(generalized)
Aluthge transform
Duggal transform
complex symmetric operator matrix

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10.1007/s00025-022-01786-2

Cite this

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abstract = "In this paper we study characterizations of a complex symmetric truncated shift type operator matrix and the Aluthge transform, the Duggal transform, the mean transform, and the generalized mean transform of such an operator matrix T (see (2.1) or (2.2)). As some applications of our main results, we give several examples of truncated shift type operator matrices.",

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doi = "10.1007/s00025-022-01786-2",

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AU - Lee, Ji Eun

N1 - Funding Information: These authors contributed equally to this work. The first named author was partially supported by Labex CEMPI (ANR-11-LABX-0007-01). The second author is partially supported by Grant-in-Aid Scientific Research No. 15K04910. The third author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2019R1F1A1058633). The fourth author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (MSIT) (No. 2022R1H1A2091052). Publisher Copyright: © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

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Characterizations of a Complex Symmetric Truncated Backward Shift Type Operator Matrix and its Transforms

Abstract

Bibliographical note

Keywords

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