Results 1 to 10 of about 75 (63)

Reducing Subspaces of the Dual Truncated Toeplitz Operator [PDF]

Journal of Function Spaces, 2018
We define the dual truncated Toeplitz operators and give some basic properties of them. In particular, spectrum and reducing subspaces of some special dual truncated Toeplitz operator are characterized.
Yinyin Hu, Jia Deng, Tao Yu, Liu Liu, Yufeng Lu   +4 more
doaj   +3 more sources

Characterizations of dual truncated Toeplitz operators

Journal of Mathematical Analysis and Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Caixing Gu
exaly   +2 more sources

Invertibility, Fredholmness and kernels of dual truncated Toeplitz operators [PDF]

Banach Journal of Mathematical Analysis, 2020
AbstractAsymmetric dual truncated Toeplitz operators acting between the orthogonal complements of two (eventually different) model spaces are introduced and studied. They are shown to be equivalent after extension to paired operators on $$L^2({\mathbb {T}}) \oplus L^2({\mathbb {T}})$$ L
Cristina Camara, Bartosz Łanucha, Marek Ptak   +2 more
exaly   +4 more sources

A theorem of Brown–Halmos type for dual truncated Toeplitz operators

Annals of Functional Analysis, 2020
The paper proves necessary and sufficient conditions for the commutativity of the product of two dual truncated Toeplitz operators for the unit disk. A truncated dual Toeplitz operator \(D_f\) is defined as \(x\in (K_u^2)^\perp\mapsto D_f\,x=(I-P_u)(fx)\in (K_u^2)^\perp\) where \(K_u^2=H^2\ominus u H^2\) with \(u\) a nonconstant inner function and ...
Xuanhao Ding
exaly   +3 more sources

Essentially Commuting Dual Truncated Toeplitz Operators

Chinese Annals of Mathematics Series B
35 ...
Zhao Xianfeng, Zheng Dechao, Dechao Zheng   +2 more
exaly   +3 more sources

Multidimensional Toeplitz and Truncated Toeplitz Operators [PDF]

, 2021
In this thesis we extend previous studies of Toeplitz and truncated Toeplitz operators by studying both Toeplitz and truncated Toeplitz operators with matrix symbols.
O'Loughlin, Ryan
core  

Characterizations of the product of asymmetric dual truncated Toeplitz operators

AIMS Mathematics
The asymmetric dual truncated Toeplitz operator (ADTTO) is a compression multiplication operator acting on the orthogonal complement of two different model spaces. In this paper, we present an operator equation characterization of an ADTTO using the compressed shift operator.
Zhenhui Zhu, Qi Wu, Yong Chen
openaire   +2 more sources

Norm attaining dual truncated Toeplitz operators

33 ...
Bhuia, Sudip Ranjan, Nag, Puspendu
openaire   +2 more sources

On the minimum modulus of dual truncated Toeplitz operators

This article provides a systematic investigation of the minimum modulus of dual truncated Toeplitz operators (DTTOs) $D_φ$ acting on the orthogonal complement of the model space $\mathcal{K}_u^{\perp}$, where $u$ is a nonconstant inner function and $φ\in L^\infty(\T)$.
Bhuia, Sudip Ranjan, Golla, Ramesh, Nag, Puspendu   +2 more
openaire   +2 more sources

Correspondence Rules for SU(1,1) Quasidistribution Functions and Quantum Dynamics in the Hyperbolic Phase Space. [PDF]

Entropy (Basel), 2022
Baltazar M, Valtierra IF, Klimov AB.
europepmc   +1 more source