Weighted composition operators on the Hilbert space of Dirichlet series

2018 ◽  
Vol 38 (4) ◽  
pp. 1427-1440
Author(s):  
Maofa WANG ◽  
Xingxing YAO ◽  
Fangwen DENG
Keyword(s):  
Hilbert Space ◽  
Dirichlet Series ◽  
Composition Operators ◽  
Weighted Composition Operators ◽  
Weighted Composition

scholarly journals Antinormal Weighted Composition Operators

2016 ◽  
Vol 2016 ◽  
pp. 1-5 ◽  
Author(s):  
Dilip Kumar ◽  
Harish Chandra
Keyword(s):  
Hilbert Space ◽  
Composition Operators ◽  
Weighted Composition Operator ◽  
Sufficient Conditions ◽  
Weighted Composition Operators ◽  
Counting Measure ◽  
Power Set ◽  
Weighted Composition ◽  
Necessary And Sufficient ◽  
Positive Integers

Letl2=L2N,μ, whereNis set of all positive integers andμis the counting measure whoseσ-algebra is the power set ofN. In this paper, we obtain necessary and sufficient conditions for a weighted composition operator to be antinormal on the Hilbert spacel2. We also determine a class of antinormal weighted composition operators on Hardy spaceH2D.

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