PROPERTIES OF DUAL TOEPLITZ OPERATORS WITH APPLICATIONS TO HAPLITZ PRODUCTS ON THE HARDY SPACE OF THE POLYDISK [PDF]
In this paper, we introduce dual Toeplitz operators on the orthogonal complement of the Hardy space of the polydisk and establish their main algebraic properties using an auxiliary transformation of operators. As a byproduct, we exploit this mysterious transformation in the investigation of boundedness and compactness of Hankel products and mixed ...
Benaissa, Lakhdar, Guediri, Hocine
exaly +3 more sources
Coil Sketching for Fast and Efficient 4D Lung MRI Reconstruction. [PDF]
ABSTRACT Purpose To develop and evaluate a memory‐efficient and accelerated reconstruction framework for respiratory‐resolved 4D lung MRI using coil sketching and Toeplitz approximation, enabling high‐quality motion‐compensated low‐rank (MoCo‐LR) reconstructions on clinically accessible GPU hardware.
Plummer JW +7 more
europepmc +2 more sources
Commuting of block dual Toeplitz operators [PDF]
In this paper, we characterize the commuting (semi-commuting) and the essentially commuting (semi-commuting) of block dual Toeplitz operators. Mathematics subject classification (2010): 47B35, 47B47.
Bo Zhang, Yufeng Lu
openaire +1 more source
Toeplitz Operators on the Symmetrized Bidisc [PDF]
The symmetrized bidisc has been a rich field of holomorphic function theory and operator theory. A certain well-known reproducing kernel Hilbert space of holomorphic functions on the symmetrized bidisc resembles the Hardy space of the unit disc in ...
Sau, Haripada +2 more
core +1 more source
Algebraic and spectral properties of dual Toeplitz operators [PDF]
Dual Toeplitz operators are defined on the orthogonal complement of the Bergman space \(L^2_a\) of the disk into \(L^2\) to be multiplication operators followed by projection onto the orthogonal complement. Several algebraic, analytic and spectral properties of dual Toeplitz operators are studied in this nice paper.
Stroethoff, Karel, Zheng, Dechao
openaire +1 more source
Multidimensional Toeplitz and Truncated Toeplitz Operators [PDF]
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
Toeplitz separability, entanglement, and complete positivity using operator system duality [PDF]
A new proof is presented of a theorem of L.~Gurvits, which states that the cone of positive block-Toeplitz matrices with matrix entries has no entangled elements.
Farenick, Douglas, McBurney, Michelle
core +1 more source
Convolutional compressed sensing using deterministic sequences [PDF]
This is the author's accepted manuscript (with working title "Semi-universal convolutional compressed sensing using (nearly) perfect sequences"). The final published article is available from the link below. Copyright @ 2012 IEEE.
Cong Ling +4 more
core +1 more source
A theorem of Brown–Halmos type for dual truncated Toeplitz operators
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 ...
Sang, Yuanqi, Qin, Yueshi, Ding, Xuanhao
openaire +2 more sources
Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey [PDF]
[EN] In this survey we report about recent work on weighted Banach spaces of analytic functions on the unit disc and on the whole complex plane defined with sup-norms and operators between them.
Bonet Solves, José Antonio
core +1 more source

