Standard

Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach. / Rozenblum, Grigori; Vasilevski, Nikolai.

In: Integral Equations and Operator Theory, Vol. 94, No. 3, 27, 01.09.2022.

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

Harvard

Rozenblum, G & Vasilevski, N 2022, 'Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach', Integral Equations and Operator Theory, vol. 94, no. 3, 27. https://doi.org/10.1007/s00020-022-02706-3

APA

Rozenblum, G., & Vasilevski, N. (2022). Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach. Integral Equations and Operator Theory, 94(3), [27]. https://doi.org/10.1007/s00020-022-02706-3

Vancouver

Rozenblum G, Vasilevski N. Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach. Integral Equations and Operator Theory. 2022 Sep 1;94(3). 27. https://doi.org/10.1007/s00020-022-02706-3

Author

Rozenblum, Grigori ; Vasilevski, Nikolai. / Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach. In: Integral Equations and Operator Theory. 2022 ; Vol. 94, No. 3.

BibTeX

@article{8fb0336800e74200abc7a90fa97a132b,
title = "Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach",
abstract = "For three standard models of commutative algebras generated by Toeplitz operators in the weighted analytic Bergman space on the unit disk, we find their representations as the algebras of bounded functions of certain unbounded self-adjoint operators. We discuss main properties of these representation and, especially, describe relations between properties of the spectral function of Toeplitz operators in the spectral representation and properties of the symbols.",
keywords = "Commutative algebras, Spectral representation, Toeplitz operators, Алгебры операторов, пространства Бергмана, спектральная теория операторов",
author = "Grigori Rozenblum and Nikolai Vasilevski",
note = "Rozenblum, G., Vasilevski, N. Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach. Integr. Equ. Oper. Theory 94, 27 (2022). https://doi.org/10.1007/s00020-022-02706-3",
year = "2022",
month = sep,
day = "1",
doi = "10.1007/s00020-022-02706-3",
language = "English",
volume = "94",
journal = "Integral Equations and Operator Theory",
issn = "0378-620X",
publisher = "Birkh{\"a}user Verlag AG",
number = "3",

}

RIS

TY - JOUR

T1 - Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach

AU - Rozenblum, Grigori

AU - Vasilevski, Nikolai

N1 - Rozenblum, G., Vasilevski, N. Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach. Integr. Equ. Oper. Theory 94, 27 (2022). https://doi.org/10.1007/s00020-022-02706-3

PY - 2022/9/1

Y1 - 2022/9/1

N2 - For three standard models of commutative algebras generated by Toeplitz operators in the weighted analytic Bergman space on the unit disk, we find their representations as the algebras of bounded functions of certain unbounded self-adjoint operators. We discuss main properties of these representation and, especially, describe relations between properties of the spectral function of Toeplitz operators in the spectral representation and properties of the symbols.

AB - For three standard models of commutative algebras generated by Toeplitz operators in the weighted analytic Bergman space on the unit disk, we find their representations as the algebras of bounded functions of certain unbounded self-adjoint operators. We discuss main properties of these representation and, especially, describe relations between properties of the spectral function of Toeplitz operators in the spectral representation and properties of the symbols.

KW - Commutative algebras

KW - Spectral representation

KW - Toeplitz operators

KW - Алгебры операторов

KW - пространства Бергмана

KW - спектральная теория операторов

UR - http://www.scopus.com/inward/record.url?scp=85134234864&partnerID=8YFLogxK

U2 - 10.1007/s00020-022-02706-3

DO - 10.1007/s00020-022-02706-3

M3 - Article

AN - SCOPUS:85134234864

VL - 94

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

SN - 0378-620X

IS - 3

M1 - 27

ER -

ID: 105205770