scholarly journals ON 2-HYPONORMAL TOEPLITZ OPERATORS WITH FINITE RANK SELF-COMMUTATORS

2016 ◽  
Vol 31 (3) ◽  
pp. 585-590
Author(s):  
An-Hyun Kim
Keyword(s):  
Finite Rank ◽  
Toeplitz Operators

scholarly journals Finite rank product theorems for Toeplitz operators on the half-space

2009 ◽  
Vol 61 (3) ◽  
pp. 885-919 ◽  
Author(s):  
Boo Rim CHOE ◽  
Hyungwoon KOO ◽  
Kyesook NAM
Keyword(s):  
Half Space ◽  
Finite Rank ◽  
Toeplitz Operators ◽  
Rank Product

Finite rank commutators of Toeplitz operators on the bidisk

2012 ◽  
Vol 209 (2) ◽  
pp. 189-201
Author(s):  
Young Joo Lee
Keyword(s):  
Finite Rank ◽  
Toeplitz Operators

scholarly journals The Detectable Subspace for the Friedrichs Model: Applications of Toeplitz Operators and the Riesz–Nevanlinna Factorisation Theorem

2020 ◽  
Vol 21 (10) ◽  
pp. 3141-3156
Author(s):  
S. Naboko ◽  
I. Wood
Keyword(s):  
Toeplitz Operator ◽  
Finite Rank ◽  
Toeplitz Operators ◽  
Model Operator ◽  
Hardy Classes ◽  
Finite Rank Perturbation ◽  
Boundary Measurements ◽  
Independent Variable ◽  
Friedrichs Model

Abstract We discuss how much information on a Friedrichs model operator (a finite rank perturbation of the operator of multiplication by the independent variable) can be detected from ‘measurements on the boundary’. The framework of boundary triples is used to introduce the generalised Titchmarsh–Weyl M-function and the detectable subspaces which are associated with the part of the operator which is ‘accessible from boundary measurements’. In this paper, we choose functions arising as parameters in the Friedrichs model in certain Hardy classes. This allows us to determine the detectable subspace by using the canonical Riesz–Nevanlinna factorisation of the symbol of a related Toeplitz operator.

scholarly journals THE FINITE SUM OF THE PRODUCTS OF TWO TOEPLITZ OPERATORS

2009 ◽  
Vol 86 (1) ◽  
pp. 45-60 ◽  
Author(s):  
XUANHAO DING
Keyword(s):  
Toeplitz Operator ◽  
Finite Rank ◽  
Toeplitz Operators ◽  
Necessary Condition ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Finite Rank Perturbation ◽  
Sum Of Products ◽  
Finite Sum ◽  
Necessary And Sufficient

AbstractWe consider in this paper the question of when the finite sum of products of two Toeplitz operators is a finite-rank perturbation of a single Toeplitz operator on the Hardy space over the unit disk. A necessary condition is found. As a consequence we obtain a necessary and sufficient condition for the product of three Toeplitz operators to be a finite-rank perturbation of a single Toeplitz operator.

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