Composition operators on weighted Banach spaces of entire functions

2020 ◽  
pp. 1-17
Author(s):  
Pham Trong Tien
Keyword(s):  
Banach Spaces ◽  
Entire Functions ◽  
Composition Operators ◽  
Weighted Banach Spaces

Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions

1999 ◽  
Vol 42 (2) ◽  
pp. 139-148 ◽  
Author(s):  
José Bonet ◽  
Paweł Dománski ◽  
Mikael Lindström
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Analytic Functions ◽  
Composition Operators ◽  
Essential Norm ◽  
Weak Compactness ◽  
Weakly Compact ◽  
Point Evaluation ◽  
Weighted Banach Spaces ◽  
Spaces Of Analytic Functions

AbstractEvery weakly compact composition operator between weighted Banach spaces of analytic functions with weighted sup-norms is compact. Lower and upper estimates of the essential norm of continuous composition operators are obtained. The norms of the point evaluation functionals on the Banach space are also estimated, thus permitting to get new characterizations of compact composition operators between these spaces.

Hypercyclicity of Composition Operators on Discrete Weighted Banach Spaces

2019 ◽  
Vol 16 (5) ◽  
Author(s):  
Robert F. Allen ◽  
Flavia Colonna ◽  
Rubén A. Martínez-Avendaño ◽  
Matthew A. Pons
Keyword(s):  
Banach Spaces ◽  
Composition Operators ◽  
Weighted Banach Spaces
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