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arXiv · 2311.01436

Strongly Kreiss Bounded Operators in UMD Banach Spaces

Chenxi Deng·Emiel Lorist·Mark Veraar
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Abstract

In this paper we give growth estimates for $\|T^n\|$ for $n\to \infty$ in the case $T$ is a strongly Kreiss bounded operator on a UMD Banach space $X$. In several special cases we provide explicit growth rates. This includes known cases such as Hilbert and $L^p$-spaces, but also intermediate UMD spaces such as non-commutative $L^p$-spaces and variable Lebesgue spaces.

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BibTeXRIS

Chenxi Deng, Emiel Lorist, Mark Veraar. 2023-11-02. Strongly Kreiss Bounded Operators in UMD Banach Spaces. https://doi.org/10.1007/s00233-024-10441-x

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