Hankel and Toeplitz operators, block matrices and derivations

Robin Harte; Eungil Ko; Ji Eun Lee

doi:10.2298/FIL2310091H

Hankel and Toeplitz operators, block matrices and derivations

Robin Harte, Eungil Ko, Ji Eun Lee

Department of Mathematics

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

Abstract

Hankel and Toeplitz operators are the compressions of Laurent and bilateral Hankel operators, which in turn can be presented as two-by-two operator matrices with Toeplitz and Hankel entries.

Original language	English
Pages (from-to)	3091-3104
Number of pages	14
Journal	Filomat
Volume	37
Issue number	10
DOIs	https://doi.org/10.2298/FIL2310091H
State	Published - 2023

Bibliographical note

Funding Information:
2020 Mathematics Subject Classification. Primary 47B35, 47A10. Keywords. Hankel operator; Toeplitz operator; Block matrix; Derivation. Received: 21 October 2019; Accepted: 04 July 2022 Communicated by Woo Young Lee This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(2016R1D1A1B03931937). The third author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology(2019R1A2C1002653). * Corresponding author: Ji Eun Lee Email addresses: hartere@gmail.com (Robin Harte), eiko@ewha.ac.kr (Eungil Ko), jieunlee7@sejong.ac.kr (Ji Eun Lee)

Publisher Copyright:
© 2023, University of Nis. All rights reserved.

Keywords

Block matrix
Derivation
Hankel operator
Toeplitz operator

Access to Document

10.2298/FIL2310091H

Cite this

@article{bbee0fce6a4a406baaa0342b1d9763cf,

title = "Hankel and Toeplitz operators, block matrices and derivations",

abstract = "Hankel and Toeplitz operators are the compressions of Laurent and bilateral Hankel operators, which in turn can be presented as two-by-two operator matrices with Toeplitz and Hankel entries.",

keywords = "Block matrix, Derivation, Hankel operator, Toeplitz operator",

author = "Robin Harte and Eungil Ko and Lee, {Ji Eun}",

note = "Funding Information: 2020 Mathematics Subject Classification. Primary 47B35, 47A10. Keywords. Hankel operator; Toeplitz operator; Block matrix; Derivation. Received: 21 October 2019; Accepted: 04 July 2022 Communicated by Woo Young Lee This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(2016R1D1A1B03931937). The third author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology(2019R1A2C1002653). * Corresponding author: Ji Eun Lee Email addresses: hartere@gmail.com (Robin Harte), eiko@ewha.ac.kr (Eungil Ko), jieunlee7@sejong.ac.kr (Ji Eun Lee) Publisher Copyright: {\textcopyright} 2023, University of Nis. All rights reserved.",

year = "2023",

doi = "10.2298/FIL2310091H",

language = "English",

volume = "37",

pages = "3091--3104",

journal = "Filomat",

issn = "0354-5180",

publisher = "Universitet of Nis",

number = "10",

}

TY - JOUR

T1 - Hankel and Toeplitz operators, block matrices and derivations

AU - Harte, Robin

AU - Ko, Eungil

AU - Lee, Ji Eun

N1 - Funding Information: 2020 Mathematics Subject Classification. Primary 47B35, 47A10. Keywords. Hankel operator; Toeplitz operator; Block matrix; Derivation. Received: 21 October 2019; Accepted: 04 July 2022 Communicated by Woo Young Lee This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(2016R1D1A1B03931937). The third author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology(2019R1A2C1002653). * Corresponding author: Ji Eun Lee Email addresses: hartere@gmail.com (Robin Harte), eiko@ewha.ac.kr (Eungil Ko), jieunlee7@sejong.ac.kr (Ji Eun Lee) Publisher Copyright: © 2023, University of Nis. All rights reserved.

PY - 2023

Y1 - 2023

N2 - Hankel and Toeplitz operators are the compressions of Laurent and bilateral Hankel operators, which in turn can be presented as two-by-two operator matrices with Toeplitz and Hankel entries.

AB - Hankel and Toeplitz operators are the compressions of Laurent and bilateral Hankel operators, which in turn can be presented as two-by-two operator matrices with Toeplitz and Hankel entries.

KW - Block matrix

KW - Derivation

KW - Hankel operator

KW - Toeplitz operator

UR - http://www.scopus.com/inward/record.url?scp=85149729038&partnerID=8YFLogxK

U2 - 10.2298/FIL2310091H

DO - 10.2298/FIL2310091H

M3 - Article

AN - SCOPUS:85149729038

SN - 0354-5180

VL - 37

SP - 3091

EP - 3104

JO - Filomat

JF - Filomat

IS - 10

ER -

Hankel and Toeplitz operators, block matrices and derivations

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this