Asymmetric Truncated Toeplitz Operators and Conjugations

被引：14

作者：

Cristina Camara, M. ^{[1
]}

Klis-Garlicka, Kamila ^{[2
]}

Ptak, Marek ^{[2
]}

机构：

[1] Univ Lisbon, Inst Super Tecn, Dept Math, Ctr Math Anal Geometry & Dynam Syst, Ave Rovisco Pais, P-1049001 Lisbon, Portugal

[2] Univ Agr, Dept Appl Math, Ul Balicka 253c, PL-30198 Krakow, Poland

来源：

FILOMAT | 2019年 / 33卷 / 12期

关键词：

asymmetric truncated Toeplitz operator; conjugation; C-symmetry; COMPLEX SYMMETRIC-OPERATORS;

D O I：

10.2298/FIL1912697C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Truncated Toeplitz operators in a model space are C-symmetric with respect to a natural conjugation in that space. We show that this and another conjugation associated to an orthogonal decomposition possess unique properties and we study their relations with asymmetric truncated Toeplitz operators in terms of C-symmetry. New connections with Hankel operators are established through this approach.

引用

页码：3697 / 3710

页数：14

共 50 条

[1] CHARACTERIZATION OF TRUNCATED TOEPLITZ OPERATORS BY CONJUGATIONS
Klis-Garlicka, Kamila
Lanucha, Bartosz
Ptak, Marek
[J]. OPERATORS AND MATRICES, 2017, 11 (03): : 807 - 822
[2] ASYMMETRIC TRUNCATED TOEPLITZ OPERATORS AND TOEPLITZ OPERATORS WITH MATRIX SYMBOL
Cristina Camara, M.
Partington, Jonathan R.
[J]. JOURNAL OF OPERATOR THEORY, 2017, 77 (02) : 455 - 479
[3] Products of asymmetric truncated Toeplitz operators
Yagoub, Ameur
[J]. ADVANCES IN OPERATOR THEORY, 2020, 5 (01) : 233 - 247
[4] Products of asymmetric truncated Toeplitz operators
Ameur Yagoub
[J]. Advances in Operator Theory, 2020, 5 : 233 - 247
[5] CHARACTERIZATIONS OF ASYMMETRIC TRUNCATED TOEPLITZ OPERATORS
Camara, Crisina
Jurasik, Joanna
Klis-Garlicka, Kamila
Ptak, Marek
[J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2017, 11 (04): : 899 - 922
[6] Asymmetric Truncated Toeplitz Operators of Rank One
Lanucha, Bartosz
[J]. COMPUTATIONAL METHODS AND FUNCTION THEORY, 2018, 18 (02) : 259 - 267
[7] Matrix Representations of Asymmetric Truncated Toeplitz Operators
Joanna Jurasik
Bartosz Łanucha
[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 1443 - 1458
[8] Characterizations of Asymmetric Truncated Toeplitz and Hankel Operators
Gu, Caixing
Lanucha, Bartosz
Michalska, Malgorzata
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (03) : 673 - 684
[9] Characterizations of Asymmetric Truncated Toeplitz and Hankel Operators
Caixing Gu
Bartosz Łanucha
Małgorzata Michalska
[J]. Complex Analysis and Operator Theory, 2019, 13 : 673 - 684
[10] Matrix Representations of Asymmetric Truncated Toeplitz Operators
Jurasik, Joanna
Lanucha, Bartosz
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (03) : 1443 - 1458

← 1 2 3 4 5 →