PreprintCC BY 4.0arXiv
Uniform Kreiss boundedness does not imply strong Cesàro boundedness
Abstract
We construct a uniformly Kreiss bounded operator on a separable Hilbert space which is not strongly Cesàro bounded. This gives a negative answer to a question of Cohen, Cuny, Eisner and Lin.
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BibTeX
@misc{arnold2026uniform,
title = {{Uniform Kreiss boundedness does not imply strong Cesàro boundedness}},
author = {Loris Arnold},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.29679},
eprint = {2609.29679},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29679},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Uniform Kreiss boundedness does not imply strong Cesàro boundedness
AU - Loris Arnold
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.29679
UR - https://arxiv.org/abs/2609.29679
AB - We construct a uniformly Kreiss bounded operator on a separable Hilbert space which is not strongly Cesàro bounded. This gives a negative answer to a question of Cohen, Cuny, Eisner and Lin.
ER -