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Real alternative Daugavet property without Daugavet property in a separable complex Banach space
Abstract
We construct a separable complex Banach space whose underlying real space has the alternative Daugavet property, although the complex space fails the Daugavet property, thereby answering an open question posed by Kadets, Martin, and Paya in 2006.
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BibTeX
@misc{huang2026real,
title = {{Real alternative Daugavet property without Daugavet property in a separable complex Banach space}},
author = {Jinghao Huang and Ran Xu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.06532},
eprint = {2611.06532},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.06532},
}
RIS
TY - UNPB
TI - Real alternative Daugavet property without Daugavet property in a separable complex Banach space
AU - Jinghao Huang
AU - Ran Xu
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.06532
UR - https://arxiv.org/abs/2611.06532
AB - We construct a separable complex Banach space whose underlying real space has the alternative Daugavet property, although the complex space fails the Daugavet property, thereby answering an open question posed by Kadets, Martin, and Paya in 2006.
ER -