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We describe several classes of Ritt operators that admit a bounded $$H^\infty $$ -functional calculus. Specifically, we demonstrate that this property holds for Hilbert space operators similar to contraction and for regular contractions on $$L^p$$ , for $$1

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Classes of Ritt Operators with a Bounded \(H^\infty \) -Functional Calculus

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  • 发表日期：

    2026年

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  • Christian Le Merdy

摘要

We describe several classes of Ritt operators that admit a bounded $$H^\infty $$ -functional calculus. Specifically, we demonstrate that this property holds for Hilbert space operators similar to contraction and for regular contractions on $$L^p$$ , for $$1