Yidong Shi

collaborators

3 papers

math.FA2026

The Complex Banach Isometric Conjecture

Xinan Dai, Wendao Deng, Yidong Shi +2

Banach asked whether a normed space must be Hilbert if, for one fixed dimension greater than one, all subspaces of that dimension are linearly isometric. We prove the complex case.…

math.FA2026

Bounded Representatives in Critical Sobolev-Hodge Spaces

Xinan Dai, Wenhao Deng, Yidong Shi +2

Let $n \geq 2$ , $1 \leq ℓ \leq n - 1$ , and $1 < p < \infty$ . We prove that every $v \in W ˙^{n / p, p} (R^{n}; Λ^{ℓ})$ has a representative $u \in W ˙^{n / p, p} \cap L^{\infty}$ with $…

math.GR2026

A Finite E-Group of Nilpotency Class Three

Xinan Dai, Wenhao Deng, Yidong Shi +2

A group is an E-group if every element commutes with each of its endomorphic images. Caranti asked whether a finite E-group can have nilpotency class three. We prove that the $3$ -g…