Compactness of multiplication, composition and weighted composition operators between some classical sequence spaces: A new approach

2017 ◽  
Vol 47 (8) ◽  
pp. 2545-2564
Author(s):  
Ivana Djolović ◽  
Eberhard Malkowsky
Keyword(s):  
Composition Operators ◽  
Sequence Spaces ◽  
Weighted Composition Operators ◽  
New Approach ◽  
Weighted Composition

scholarly journals Closed range weighted composition operators between L^{p}-spaces

2021 ◽  
Vol 41 (5) ◽  
pp. 649-665
Author(s):  
Ching-on Lo ◽  
Anthony Wai-keung Loh
Keyword(s):  
Composition Operators ◽  
Sequence Spaces ◽  
Weighted Composition Operators ◽  
Closed Range ◽  
Weighted Sequence ◽  
Weighted Composition

We characterize the closedness of ranges of weighted composition operators between \(L^p\)-spaces, where \(1 \leq p \leq \infty\). When the \(L^p\)-spaces are weighted sequence spaces, several corollaries about this class of operators are also deduced.

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.

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