Antinormal Weighted Composition Operators

Dilip Kumar and Harish Chandra

Abstract and Applied Analysis, 2016, vol. 2016, issue 1

Abstract: Let l2=L2N,μ, where N is set of all positive integers and μ is the counting measure whose σ‐algebra is the power set of N. In this paper, we obtain necessary and sufficient conditions for a weighted composition operator to be antinormal on the Hilbert space l2. We also determine a class of antinormal weighted composition operators on Hardy space H2D.

Date: 2016
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https://doi.org/10.1155/2016/5767426

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2016:y:2016:i:1:n:5767426

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