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Toeplitz versus Hankel : semibounded operators. / Yafaev, D. R.

In: Opuscula Mathematica, Vol. 38, No. 4, 2018, p. 573-590.

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

Harvard

Yafaev, DR 2018, 'Toeplitz versus Hankel: semibounded operators', Opuscula Mathematica, vol. 38, no. 4, pp. 573-590. https://doi.org/10.7494/OpMath.2018.38.4.573

APA

Yafaev, D. R. (2018). Toeplitz versus Hankel: semibounded operators. Opuscula Mathematica, 38(4), 573-590. https://doi.org/10.7494/OpMath.2018.38.4.573

Vancouver

Yafaev DR. Toeplitz versus Hankel: semibounded operators. Opuscula Mathematica. 2018;38(4):573-590. https://doi.org/10.7494/OpMath.2018.38.4.573

Author

Yafaev, D. R. / Toeplitz versus Hankel : semibounded operators. In: Opuscula Mathematica. 2018 ; Vol. 38, No. 4. pp. 573-590.

BibTeX

@article{949d5638068144328d12c47d95ef7329,
title = "Toeplitz versus Hankel: semibounded operators",
abstract = "Our goal is to compare various results for Toeplitz T and Hankel H operators. We consider semibounded operators and find necessary and su cient conditions for their quadratic forms to be closable. This property allows one to define T and H as self-adjoint operators under minimal assumptions on their matrix elements. We also describe domains of the closed Toeplitz and Hankel quadratic forms.",
keywords = "math.FA, math.SP, 47B25, 47B35, Wiener-Hopf operators, Closed quadratic forms, Semibounded Toeplitz, Hankel, Closable, Hankel and Wiener-Hopf operators, MATRICES, closable and closed quadratic forms, semibounded Toeplitz",
author = "Yafaev, {D. R.}",
note = "Publisher Copyright: {\textcopyright} Wydawnictwa AGH, Krakow 2018.",
year = "2018",
doi = "10.7494/OpMath.2018.38.4.573",
language = "English",
volume = "38",
pages = "573--590",
journal = "Opuscula Mathematica",
issn = "1232-9274",
publisher = "Akademia Gorniczo-Hutnicza im. S. Staszica w Krakowie.",
number = "4",

}

RIS

TY - JOUR

T1 - Toeplitz versus Hankel

T2 - semibounded operators

AU - Yafaev, D. R.

N1 - Publisher Copyright: © Wydawnictwa AGH, Krakow 2018.

PY - 2018

Y1 - 2018

N2 - Our goal is to compare various results for Toeplitz T and Hankel H operators. We consider semibounded operators and find necessary and su cient conditions for their quadratic forms to be closable. This property allows one to define T and H as self-adjoint operators under minimal assumptions on their matrix elements. We also describe domains of the closed Toeplitz and Hankel quadratic forms.

AB - Our goal is to compare various results for Toeplitz T and Hankel H operators. We consider semibounded operators and find necessary and su cient conditions for their quadratic forms to be closable. This property allows one to define T and H as self-adjoint operators under minimal assumptions on their matrix elements. We also describe domains of the closed Toeplitz and Hankel quadratic forms.

KW - math.FA

KW - math.SP

KW - 47B25, 47B35

KW - Wiener-Hopf operators

KW - Closed quadratic forms

KW - Semibounded Toeplitz

KW - Hankel

KW - Closable

KW - Hankel and Wiener-Hopf operators

KW - MATRICES

KW - closable and closed quadratic forms

KW - semibounded Toeplitz

UR - http://www.scopus.com/inward/record.url?scp=85045888991&partnerID=8YFLogxK

U2 - 10.7494/OpMath.2018.38.4.573

DO - 10.7494/OpMath.2018.38.4.573

M3 - Article

VL - 38

SP - 573

EP - 590

JO - Opuscula Mathematica

JF - Opuscula Mathematica

SN - 1232-9274

IS - 4

ER -

ID: 36484211