scholarly journals Closed range composition operators on Hilbert function spaces

2015 ◽  
Vol 431 (2) ◽  
pp. 841-866 ◽  
Author(s):  
Pratibha Ghatage ◽  
Maria Tjani
Keyword(s):  
Hilbert Function ◽  
Composition Operators ◽  
Function Spaces ◽  
Closed Range ◽  
Hilbert Function Spaces

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 Isometric and Closed-Range Composition Operators between Bloch-Type Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-15
Author(s):  
Nina Zorboska
Keyword(s):  
Holomorphic Function ◽  
Composition Operators ◽  
Function Spaces ◽  
Complete Characterization ◽  
Closed Range ◽  
Different Types ◽  
Type Spaces ◽  
Range Determination

We present an overview of the known results describing the isometric and closed-range composition operators on different types of holomorphic function spaces. We add new results and give a complete characterization of the isometric univalently induced composition operators acting between Bloch-type spaces. We also add few results on the closed-range determination of composition operators on Bloch-type spaces and present the problems that are still open.

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