PreprintarXiv licencearXiv
Uniform Embeddings of Banach Space Spheres into Hilbert Spaces and Property (H)
Abstract
We prove that if the unit sphere of a separable infinite-dimensional real Banach space embeds uniformly into a Hilbert space, then the Banach space has Kasparov--Yu's Property (H).
Related
- Walk-on-Ambient-Patch: Solver-Adapted Isometric Embeddings for Projected Walk on Spheres
- Gelfand numbers of Schatten class embeddings in the quasi-Banach range
- Sharp embeddings between quasi-Banach Besov spaces and shallow ReLU variation spaces
- Real alternative Daugavet property without Daugavet property in a separable complex Banach space
- On Mbekhta's conjecture and pseudo-Fredholm operators on Banach and Hilbert spaces
BibTeX
@misc{cheng2026uniform,
title = {{Uniform Embeddings of Banach Space Spheres into Hilbert Spaces and Property (H)}},
author = {Qingjin Cheng and Yue Wang and Yipeng Zhang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06543},
eprint = {2610.06543},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06543},
}
RIS
TY - UNPB
TI - Uniform Embeddings of Banach Space Spheres into Hilbert Spaces and Property (H)
AU - Qingjin Cheng
AU - Yue Wang
AU - Yipeng Zhang
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.06543
UR - https://arxiv.org/abs/2610.06543
AB - We prove that if the unit sphere of a separable infinite-dimensional real Banach space embeds uniformly into a Hilbert space, then the Banach space has Kasparov--Yu's Property (H).
ER -