scholarly journals Weighted model spaces and Schmidt subspaces of Hankel operators

2019 ◽  
Vol 101 (1) ◽  
pp. 271-298 ◽  
Author(s):  
Patrick Gérard ◽  
Alexander Pushnitski
Keyword(s):  
Hankel Operators ◽  
Model Spaces ◽  
Weighted Model

scholarly journals Zero, finite rank, and compact big truncated Hankel operators on model spaces

2018 ◽  
Vol 146 (12) ◽  
pp. 5235-5242 ◽  
Author(s):  
Pan Ma ◽  
Fugang Yan ◽  
Dechao Zheng
Keyword(s):  
Finite Rank ◽  
Hankel Operators ◽  
Model Spaces

scholarly journals Asymmetric Truncated Hankel Operators: Rank One, Matrix Representation

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Firdaws Rahmani ◽  
Yufeng Lu ◽  
Ran Li
Keyword(s):  
Toeplitz Operators ◽  
Matrix Representation ◽  
Hankel Operators ◽  
Natural Generalization ◽  
Dimensional Model ◽  
Finite Dimensional ◽  
Rank One ◽  
Model Spaces ◽  
The One ◽  
Interpolating Blaschke Products

Asymmetric truncated Hankel operators are the natural generalization of truncated Hankel operators. In this paper, we determine all rank one operators of this class. We explore these operators on finite-dimensional model spaces, in particular, their matrix representation. We also give their matrix representation and the one for asymmetric truncated Toeplitz operators in the case of model spaces associated to interpolating Blaschke products.

Operators induced by weighted Toeplitz and weighted Hankel operators

2018 ◽  
Vol 48 (2) ◽  
pp. 99-111
Author(s):  
Gopal Datt ◽  
Anshika Mittal
Keyword(s):  
Hankel Operators

The range of block Hankel operators

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3237-3243
Author(s):  
In Hwang ◽  
In Kim ◽  
Sumin Kim
Keyword(s):  
Hardy Space ◽  
Invariant Subspace ◽  
Hankel Operators ◽  
Coprime Factorization ◽  
Backward Shift ◽  
Vector Valued

In this note we give a connection between the closure of the range of block Hankel operators acting on the vector-valued Hardy space H2Cn and the left coprime factorization of its symbol. Given a subset F ? H2Cn, we also consider the smallest invariant subspace S*F of the backward shift S* that contains F.

scholarly journals Multi-orbital Frames Through Model Spaces

2021 ◽  
Vol 15 (1) ◽  
Author(s):  
Carlos Cabrelli ◽  
Ursula Molter ◽  
Daniel Suárez
Keyword(s):  
Model Spaces

Microstructure-Based Simulation of the Dielectric Properties of Polymer-Ceramic Composites for Capacitor Applications

2006 ◽  
Vol 949 ◽  
Author(s):  
Jeffrey P. Calame
Keyword(s):  
Electric Field ◽  
Polymer Matrix ◽  
Matrix Material ◽  
Realistic Model ◽  
Ceramic Composites ◽  
Internal Electric Field ◽  
Large Particles ◽  
Different Types ◽  
Model Spaces ◽  
Electrostatic Modeling

ABSTRACTResearch on the microstructure-based modeling of composite dielectrics for capacitor applications is described. Methods for predicting the composite dielectric permittivity and internal electric field distributions within the microstructure using finite difference quasi-electrostatic modeling are described, along with methods of generating realistic model spaces of particulate microstructures. An existing algorithm for generating random, monosized spheres-in-a-dielectric matrix model spaces is modified to allow the treatment of bimodal composites in which small particles are deliberately segregated into the spaces between large particles. Such composites can have substantially higher total volumetric filling fractions of particles, leading to higher composite permittivity. The variations in permittivity with the filling fractions of bimodal inclusions are studied with the new model, with cases covering three different types of polymer matrix material. The effect of the small particle additions on the electric field statistics within the polymer matrix is also explored.

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