Qing-Jin Cheng

most citedOn universal left-stability of

ε

-isometries

13 citations · 13 across the 2 of their papers we have counts for

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3 papers · 1 filter

math.FA2026

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

Qingjin Cheng, Yue Wang, Yipeng Zhang

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).

math.FA2026

Kazhdan's Property $(T)$ for Subspaces and Quotients of $L_{p}$ -Spaces

Qingjin Cheng

We prove a uniform spectral-gap estimate at every even exponent for isometric representations on arbitrary closed subspaces of real $L_{p}$ -spaces. As an application, this result, co…

math.FA2013★ 13 cited

On universal left-stability of $ε$ -isometries

Lingxin Bao, Lixin Cheng, Qingjin Cheng +1

Let $X$ , $Y$ be two real Banach spaces, and $\eps\geq0$. A map $f : X \to Y$ is said to be a standard $\eps$-isometry if $|\|f(x)-f(y)\|-\|x-y\||\leq\eps$ for all $x, y \in X$ a…

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

Kazhdan's Property (T) for Subspaces and Quotients of Lp​-Spaces

On universal left-stability of ε-isometries

Kazhdan's Property $(T)$ for Subspaces and Quotients of $L_{p}$ -Spaces

On universal left-stability of $ε$ -isometries