Kernels of Hankel operators and hyponormality of Toeplitz operators

2001 ◽  
Vol 319 (3) ◽  
pp. 553-572 ◽  
Author(s):  
Caixing Gu ◽  
Jonathan E. Shapiro
Keyword(s):  
Toeplitz Operators ◽  
Hankel Operators

Products of Toeplitz operators and Hankel operators

2014 ◽  
Vol 220 (3) ◽  
pp. 277-292 ◽  
Author(s):  
Yufeng Lu ◽  
Linghui Kong
Keyword(s):  
Toeplitz Operators ◽  
Hankel Operators

Hankel operators in the set of essential Toeplitz operators

1990 ◽  
Vol 6 (4) ◽  
pp. 354-363
Author(s):  
Chen Xiaoman ◽  
Chen Feng
Keyword(s):  
Toeplitz Operators ◽  
Hankel Operators

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.

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