Antinormal Weighted Composition Operators. (10th October 2016)

• Record Type: Journal Article
• Authors: Kumar, Dilip; Chandra, Harish
• Other Names: Wong Ngai-Ching Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2016(2016)
• Publication Date: 2016-10-10
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2016/5767426
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : Letl 2 = L 2 N, μ, whereN is set of all positive integers andμ is 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 spacel 2 . We also determine a class of antinormal weighted composition operators on Hardy spaceH 2 D .