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arXiv · 1712.05530

On Joint Functional Calculus For Ritt Operators

Parasar Mohanty·Samya Kumar Ray
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Abstract

In this paper, we study joint functional calculus for commuting $n$-tuple of Ritt operators. We provide an equivalent characterisation of boundedness for joint functional calculus for Ritt operators on $L^p$-spaces, $1< p<\infty$. We also investigate joint similarity problem and joint bounded functional calculus on non-commutative $L^p$-spaces for $n$-tuple of Ritt operators. We get our results by proving a suitable multivariable transfer principle between sectorial and Ritt operators as well as an appropriate joint dilation result in a general setting.

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Parasar Mohanty, Samya Kumar Ray. 2020-12-11. On Joint Functional Calculus For Ritt Operators. https://doi.org/10.1007/s00020-019-2513-7

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