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

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

Keywords

(generalized)
Aluthge transform
Duggal transform
complex symmetric operator matrix

Access to Document

10.1007/s00025-022-01786-2

Cite this

@article{f3aa79562ab84fe1ae566a2322e5a883,

title = "Characterizations of a Complex Symmetric Truncated Backward Shift Type Operator Matrix and its Transforms",

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.",

keywords = "(generalized), Aluthge transform, Duggal transform, complex symmetric operator matrix",

author = "Chafiq Benhida and Muneo Chō and Eungil Ko and Lee, {Ji Eun}",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2023",

month = feb,

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

language = "English",

volume = "78",

journal = "Results in Mathematics",

issn = "1422-6383",

publisher = "Birkhauser Verlag Basel",

number = "1",

}

TY - JOUR

T1 - Characterizations of a Complex Symmetric Truncated Backward Shift Type Operator Matrix and its Transforms

AU - Benhida, Chafiq

AU - Chō, Muneo

AU - Ko, Eungil

AU - Lee, Ji Eun

PY - 2023/2

Y1 - 2023/2

N2 - 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.

AB - 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.

KW - (generalized)

KW - Aluthge transform

KW - Duggal transform

KW - complex symmetric operator matrix

UR - http://www.scopus.com/inward/record.url?scp=85142165016&partnerID=8YFLogxK

U2 - 10.1007/s00025-022-01786-2

DO - 10.1007/s00025-022-01786-2

M3 - Article

AN - SCOPUS:85142165016

SN - 1422-6383

VL - 78

JO - Results in Mathematics

JF - Results in Mathematics

IS - 1

M1 - 13

ER -

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

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this