Quasi - P-normal composition and weighted composition operators on the complex Hilbert space and n power class (Q) operators and composition operators on the Hilbert space

2020 ◽  
Vol 9 (3) ◽  
Author(s):  
K. M. Manikandan ◽  
T. Veluchamy
2016 ◽  
Vol 2016 ◽  
pp. 1-5 ◽  
Author(s):  
Dilip Kumar ◽  
Harish Chandra

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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