Uniform Embeddings of Banach Space Spheres into Hilbert Spaces and Property (H)

Qingjin Cheng; Yue Wang; Yipeng Zhang

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arXiv · 2610.06543

Uniform Embeddings of Banach Space Spheres into Hilbert Spaces and Property (H)

Qingjin Cheng·Yue Wang·Yipeng Zhang

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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).

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BibTeX RIS

Qingjin Cheng, Yue Wang, Yipeng Zhang. 2026-10-05. Uniform Embeddings of Banach Space Spheres into Hilbert Spaces and Property (H). https://arxiv.org/abs/2610.06543

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