Browsing by Author "Mohammad Irshad Khan"

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ANTINORMAL OPERATORS AND ANTINORMALITY OF COMPOSITION OPERATORS ON L2(X)
(Korean Mathematical Society, 2024) Arvind Bhatt; Harish Chandra; Mohammad Irshad Khan
In this article, we show that if T ∈ B(H) is an antinormal perator, M is a reducing subspace for T and i(T|M) and i(T) are of the same sign, then T|M is also antinormal. We also characterize the antinormality of composition operators on L2(X) for a σ-finite meas urespace X. © 2024 Korean Mathematical Society
Antinormality and m-isometry of shift on weighted trees
(Springer Science and Business Media Deutschland GmbH, 2022) Mohammad Irshad Khan; Harish Chandra
The shift operator and its various generalizations are amongst the most widely studied operators on a Hilbert space. In this paper, we characterize antinormal and m-isometric shift operator S on the Hilbert space L2(T, λ) associated with a locally finite directed weighted tree T. We also discuss interesting connections between antinormality and m-isometry of S. © 2022, The Author(s).