Strongly Kreiss Bounded Operators in UMD Banach Spaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866913983487803392 |
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| author | Deng, Chenxi Lorist, Emiel Veraar, Mark |
| author_facet | Deng, Chenxi Lorist, Emiel Veraar, Mark |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_01436 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Strongly Kreiss Bounded Operators in UMD Banach Spaces Deng, Chenxi Lorist, Emiel Veraar, Mark Functional Analysis Primary: 47D03, Secondary: 47A30, 47A35, 42A61 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. |
| title | Strongly Kreiss Bounded Operators in UMD Banach Spaces |
| topic | Functional Analysis Primary: 47D03, Secondary: 47A30, 47A35, 42A61 |
| url | https://arxiv.org/abs/2311.01436 |