Title: ANTINORMAL OPERATORS AND ANTINORMALITY OF COMPOSITION OPERATORS ON L2(X)
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Korean Mathematical Society
Abstract
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