Results 1 to 10 of about 211 (142)

Dual Toeplitz Operators on the Orthogonal Complement of the Generalized Fock Space [PDF]

open access: yesMathematics
We characterize the boundedness and compactness of dual Toeplitz operators on the orthogonal complement of the generalized Fock space. We study the problem when the finite sum of the dual Toeplitz products is compact.
Baoli Xie, Jianxiang Dong, Caochuan Ma
doaj   +5 more sources

Reducing Subspaces of the Dual Truncated Toeplitz Operator [PDF]

open access: yesJournal 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   +4 more
doaj   +3 more sources

Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space [PDF]

open access: yesJournal of Mathematics, 2023
In this paper, we consider the dual Toeplitz operators on the orthogonal complement of the Fock–Sobolev space and characterize their boundedness and compactness.
Li He, Biqian Wu
doaj   +3 more sources

Dual Toeplitz Operators on Bounded Symmetric Domains [PDF]

open access: yesMathematics
We give some characterizations of dual Toeplitz operators acting on the orthogonal complement of the Bergman space over bounded symmetric domains. Our main result characterizes those finite sums of products of Toeplitz operators that are themselves dual ...
Jianxiang Dong
doaj   +3 more sources

Characterizations of dual truncated Toeplitz operators

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

Dual-Band General Toeplitz Operators

open access: yesMediterranean Journal of Mathematics, 2022
AbstractWe relate dual-band general Toeplitz operators to block truncated Toeplitz operators and, via equivalence after extension, with Toeplitz operators with $$4 \times 4$$ 4 × 4 matrix symbols.
Cristina Camara   +2 more
exaly   +4 more sources

Hyponormal Dual Toeplitz Operators on the Orthogonal Complement of the Harmonic Bergman Space

open access: yesActa Mathematica Sinica, English Series, 2023
15 ...
Wang, Chong Chao, Zhao, Xian Feng
exaly   +4 more sources

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

open access: yesBanach 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   +2 more
exaly   +4 more sources

Commuting dual Toeplitz operators with pluriharmonic symbols

open access: yesJournal of Mathematical Analysis and Applications, 2005
Let \(L_a^2(B_n)\) be the Bergman space on the unit ball \(B_n\) of complex \(n\)-space. Let \(P\) be the Hilbert space orthogonal projection from \(L^2(B_n)\) onto \(L_a^2(B_n)\). Given a symbol function \(f\in L^\infty(B_n)\), the Toeplitz operator \(T_f\) is defined by \(T_fg=P(fg)\) for \(g\in L^2_a(B_n)\).
Yufeng Lu
exaly   +3 more sources

Essentially Commuting Dual Truncated Toeplitz Operators

open access: yesChinese Annals of Mathematics Series B
35 ...
Zhao Xianfeng   +2 more
exaly   +3 more sources

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