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Antinormal Weighted Composition Operators

Antinormal weighted composition operators
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2016 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,016, pages 1-5 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Dilip Kumar; Harish Chandra;

doi: 10.1155/2016/5767426

Antinormal Weighted Composition Operators

Abstract

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.

Related Organizations
Keywords

Linear composition operators, QA1-939, Hermitian and normal operators (spectral measures, functional calculus, etc.), Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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