The Berezin Number, Norm of a Hankel Operator and Related Topics

2015 ◽  
pp. 87-100
Author(s):  
Mubariz T. Garayev
Keyword(s):  
Hankel Operator ◽  
Berezin Number

Inequalities for the Berezin number of operators and related questions

2021 ◽  
Vol 15 (2) ◽  
Author(s):  
M. T. Garayev ◽  
M. W. Alomari
Keyword(s):  
Berezin Number

Further refinements of the Berezin number inequalities on operators

2021 ◽  
pp. 1-10
Author(s):  
Ulaş Yamancı ◽  
İsmail Murat Karlı
Keyword(s):  
Berezin Number

scholarly journals Dissipativity preserving balancing for nonlinear systems — A Hankel operator approach

2010 ◽  
Vol 59 (3-4) ◽  
pp. 180-194 ◽  
Author(s):  
Tudor C. Ionescu ◽  
Kenji Fujimoto ◽  
Jacquelien M.A. Scherpen
Keyword(s):  
Nonlinear Systems ◽  
Hankel Operator ◽  
Operator Approach

Interpolating sequences for the derivatives of Bloch functions

1992 ◽  
Vol 34 (1) ◽  
pp. 35-41 ◽  
Author(s):  
K. R. M. Attele
Keyword(s):  
Bergman Space ◽  
Hankel Operator ◽  
Essential Norm ◽  
Bloch Function ◽  
Sufficient Condition ◽  
Bloch Functions ◽  
Interpolating Sequences ◽  
Analytic Symbol ◽  
Derivatives Of

AbstractWe prove that sufficiently separated sequences are interpolating sequences for f′(z)(1−|z|2) where f is a Bloch function. If the sequence {zn} is an η net then the boundedness f′(z)(1−|z|2) on {zn} is a sufficient condition for f to be a Bloch function. The essential norm of a Hankel operator with a conjugate analytic symbol acting on the Bergman space is shown to be equivalent to .

Berezin Number, Grüss-Type Inequalities and Their Applications

2019 ◽  
Vol 43 (3) ◽  
pp. 2287-2296 ◽  
Author(s):  
Ulaş Yamancı ◽  
Remziye Tunç ◽  
Mehmet Gürdal
Keyword(s):  
Berezin Number ◽  
Grüss Type Inequalities

On commutativity of weighted Hankel operators and their spectra

2015 ◽  
Vol 18 (03) ◽  
pp. 1550017 ◽  
Author(s):  
Gopal Datt ◽  
Deepak Kumar Porwal
Keyword(s):  
Hankel Operator ◽  
Hankel Operators ◽  
Weyl’S Theorem

In this paper, we describe the conditions on which the nonzero weighted Hankel operators [Formula: see text] and [Formula: see text] on H2(β) induced by ϕ ∈ L∞(β) and ψ ∈ L∞(β) respectively commute, where β = {βn}n∈ℤ is a sequence of positive numbers with β0 = 1. Spectrum of the weighted Hankel operator [Formula: see text], when ϕ(z) = az-1 + bz-2, is computed and it is also shown that the Weyl's theorem holds for the compact weighted Hankel operators.

Compactness of Hankel operator with symbols of forms

2020 ◽  
Vol 46 (2) ◽  
pp. 225-242
Author(s):  
X. Cheng ◽  
M. Jin ◽  
Q. Wang
Keyword(s):  
Hankel Operator
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