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Chenxi Deng , Emiel Lorist , Mark Veraar ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.1007/s00233-024-10441-x

In this paper we give growth estimates for $$\Vert T^n\Vert $$ for $$n\rightarrow \infty $$ in the case T is a strongly Kreiss bounded operator on a $${{\,\textrm{UMD}\,}}$$ 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 $${{\,\textrm{UMD}\,}}$$ spaces such as non-commutative $$L^p$$ -spaces and variable Lebesgue spaces.

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Landing Page: https://doi.org/10.1007/s00233-024-10441-x
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DOI: https://doi.org/10.1007/s00233-024-10441-x

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Title: Strongly Kreiss bounded operators in UMD Banach spaces

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Publication year: 2024

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Authors: Chenxi Deng, Emiel Lorist, Mark Veraar

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Landing page: https://doi.org/10.1007/s00233-024-10441-x

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