Jinghao Huang

works on

banach spaces 1 isometries 1 operator theory 1 schatten p-classes 1 tingley's problem 1

From the 1 of 4 linked papers with an AI index.

activity

20242026

collaborators

4 papers

math.FA2026

Tingley's Problem for Schatten $p$-Classes, $0 < p \neq = 2 < \infty$

Jinghao Huang, Yunpeng Zhu

The authors prove that any surjective isometry between the unit spheres of Schatten‑von Neumann classes C_p extends to a linear (or conjugate‑linear) isometry of the whole space, r…

math.FA2026

Arazy-type decomposition theorem for bounded linear operators and commutators on the trace class

Jinghao Huang, Fedor Sukochev, Zhizheng Yu

The classical Arazy's decomposition theorem provides a powerful tool in the study of sequences in (and isomorphisms on) a separable operator ideal $C_{E}$ of the algebra $\m…

math.OA2025

Isometric Structure in Noncommutative Symmetric Spaces

Kai Fang, Tianbao Guo, Jinghao Huang +1

This is a systematic study of isometries between noncommutative symmetric spaces. Let $M$ be a semifinite von Neumann algebra (or an atomic von Neumann algebra with all a…

math.OA2024

Lack of isomorphic embeddings of $ℓ_{p, q}$ into $L_{p, q} (M, I ¨ )$ over a noncommutative probability space

Jinghao Huang, Olga Sadovskaya, Fedor Sukochev +1

We prove that the sequence space $ℓ_{p, q}$ does not embed into $L_{p, q} (M, I ¨ )$ for any noncommutative probability space $(M, I ¨ )$ , $1 < p < \infty$ , $1\le q<\in…

Tingley's Problem for Schatten \(p\)-Classes, 0<p=2<∞

Arazy-type decomposition theorem for bounded linear operators and commutators on the trace class

Isometric Structure in Noncommutative Symmetric Spaces

Lack of isomorphic embeddings of ℓp,q​ into Lp,q​(M,I¨) over a noncommutative probability space

Tingley's Problem for Schatten \(p\)-Classes, $0 < p \neq = 2 < \infty$

Lack of isomorphic embeddings of $ℓ_{p, q}$ into $L_{p, q} (M, I ¨ )$ over a noncommutative probability space