scholarly journals A remark on the Frequent Hypercyclicity Criterion for weighted composition semigroups and an application to the linear von Foerster-Lasota equation

2015 ◽  
Vol 289 (8-9) ◽  
pp. 982-993 ◽  
Author(s):  
T. Kalmes
Keyword(s):  
Hypercyclicity Criterion ◽  
Weighted Composition

scholarly journals Invertible Weighted Composition Operators on the Fock Space ofCN

2015 ◽  
Vol 2015 ◽  
pp. 1-5 ◽  
Author(s):  
Liankuo Zhao
Keyword(s):  
Fock Space ◽  
Composition Operators ◽  
Complete Characterization ◽  
Weighted Composition Operators ◽  
Weighted Composition

We give a complete characterization of bounded invertible weighted composition operators on the Fock space ofCN.

Essential norm of weighted composition operators

Analysis ◽  
2018 ◽  
Vol 38 (3) ◽  
pp. 145-154
Author(s):  
Kuldip Raj ◽  
Charu Sharma
Keyword(s):  
Composition Operators ◽  
Essential Norm ◽  
Function Spaces ◽  
Weighted Composition Operators ◽  
Closed Range ◽  
Weighted Composition

Abstract In the present paper we characterize the compact, invertible, Fredholm and closed range weighted composition operators on Cesàro function spaces. We also make an effort to compute the essential norm of weighted composition operators.

scholarly journals On hypercyclicity and supercyclicity criteria

2004 ◽  
Vol 70 (1) ◽  
pp. 45-54 ◽  
Author(s):  
Teresa Bermúdez ◽  
Antonio Bonilla ◽  
Alfredo Peris
Keyword(s):  
Wide Class ◽  
Hypercyclic Operators ◽  
Dense Range ◽  
Hypercyclicity Criterion ◽  
Supercyclicity Criterion

We show that the Hypercyclicity Criterion coincides with other existing hypercyclicity criteria and prove that a wide class of hypercyclic operators satisfy the Criterion. The results obtained extend or improve earlier work of several authors. We also unify the different versions of the Supercyclicity Criterion and show that operators with dense generalised kernel and dense range are supercyclic.

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