Jinghao Huang

activity

20182026

most citedLack of isomorphic embeddings of symmetric function spaces into operator ideals

6 citations · 13 across the 18 of their papers we have counts for

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15 papers · 1 filter

math.FA2026

Completely symmetric subspaces of noncommutative $L_{p}$ -spaces

Jinghao Huang

Let $2 < p < \infty$ . We prove that every infinite-dimensional closed subspace $F$ of a noncommutative $L_{p}$ -space contains a subspace completely isomorphic to $ℓ_{p}$ , $C_{p}$ , $R_{p}$ ,…

math.FA2026

Arazy's conjecture concerning Schur multipliers: revisited and resolved

Jinghao Huang, Fedor Sukochev

Let $S^{r}$ denote the Schatten--von Neumann class and let $S_{Ψ_{f, λ}}$ be the Schur--Hadamard multiplier whose symbol is the divided-difference matrix of $f$ along $λ$ .…

math.FA2026

A logarithmically monotone symmetric norm which is not fully symmetric

Jinghao Huang

We construct an explicit symmetric Banach norm on a function space over $(0, \infty)$ which is monotone with respect to logarithmic submajorization but is not strongly symmetric, an…

math.FA2026

The Daugavet property in symmetric operator spaces

Jinghao Huang, Yerlan Nessipbayev, Fedor Sukochev +1

Under mild assumptions, the main results of this paper characterize a (real or complex) symmetric operator space affiliated with a semi-finite atomless von Neumann algebra $(\mathc…

math.FA2026

Characterization of surjective isometries: the real case

Tianbao Guo, Jinghao Huang

Let $(Ω, μ)$ and $(Λ, λ)$ be complete atomless localizable semifinite measure spaces. Suppose that $E (Ω, μ)$ and $F (Λ, λ)$ are real rearrangement-invariant Banach function spaces with…

math.FA2026

Isomorphisms between symmetric spaces over infinite and finite von Neumann algebras

Jinghao Huang, Fedor Sukochev, Dmitriy Zanin

The primary aim of this paper is to show a linear topological isomorphism between (elements of a wide class {of}) symmetric spaces over the hyperfinite $I I_{1}$ factor $R$ …

math.FA2026

Norms of multiplication operators: answering Fialkow--Loebl question

Jinghao Huang, Fedor Sukochev, Ran Xu +1

Let $M$ be a factor equipped with a semi-finite faithful normal trace $τ$ . Let $E (0, \infty)$ be a symmetrically normed function space and $E (M, τ)$ be the corres…

math.FA2026

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

Jinghao Huang, Yunpeng Zhu

We give an affirmative answer to Tingley's problem for Schatten--von Neumann classes $C_{p}$ by a unified approach for all $0 < p \neq = 2 < \infty$ , extending results due to Fernández-Polo…

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.FA2021

Operator $θ$ -Hölder functions with respect to $∥ \cdot ∥_{p}$ , $0 < p \leq \infty$

Jinghao Huang, Fedor Sukochev, Dmitriy Zanin

Let $θ \in (0, 1)$ and $(M, τ)$ be a semifinite von Neumann algebra. We consider the function spaces introduced by Sobolev (denoted by $S_{d, θ}$ ), showing that there exists a…

math.FA2020★ 5 cited

Isomorphic classification of $L_{p, q}$ -spaces, II

Jinghao Huang, Fedor Sukochev

This is a continuation of the papers [Kuryakov-Sukochev, JFA, 2015] and [Sadovskaya-Sukochev, PAMS, 2018], in which the isomorphic classification of $L_{p, q}$ , for $1 < p < \infty$ , $…

math.FA2020★ 6 cited

Lack of isomorphic embeddings of symmetric function spaces into operator ideals

Sergei Astashkin, Jinghao Huang, Fedor Sukochev

Let $E (0, 1)$ be a symmetric space on $(0, 1)$ and $C_{F}$ be a symmetric ideal of compact operators on the Hilbert space $ℓ_{2}$ associated with a symmetric sequence space $F$ . We gi…

math.FA2020

Alberti--Uhlmann problem on Hardy--Littlewood--Pólya majorization

Jinghao Huang, Fedor Sukochev

We fully describe the doubly stochastic orbit of a self-adjoint element in the noncommutative $L_{1}$ -space affiliated with a semifinite von Neumann algebra, which answers a problem…

math.FA2020

Non-existence of translation-invariant derivations on algebras of measurable functions

Aleksey Ber, Jinghao Huang, Karimbergen Kudaybergenov +1

Let $S (0, 1)$ be the $*$ -algebra of all classes of Lebesgue measurable functions on the unit interval $(0, 1)$ and let $(A, ∥ \cdot ∥_{A})$ be a complete…

math.FA2018★ 2 cited

Logarithmic submajorisation and order-preserving linear isometries

Jinghao Huang, Fedor Sukochev, Dmitriy Zanin

Let $E$ and $F$ be symmetrically $Δ$ -normed (in particular, quasi-normed) operator spaces affiliated with semifinite von Neumann algebras $M_{1}$ and $\…

Completely symmetric subspaces of noncommutative Lp​-spaces

Arazy's conjecture concerning Schur multipliers: revisited and resolved

A logarithmically monotone symmetric norm which is not fully symmetric

The Daugavet property in symmetric operator spaces

Characterization of surjective isometries: the real case

Isomorphisms between symmetric spaces over infinite and finite von Neumann algebras

Norms of multiplication operators: answering Fialkow--Loebl question

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

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

Operator θ-Hölder functions with respect to ∥⋅∥p​, 0<p≤∞

Isomorphic classification of Lp,q​-spaces, II

Lack of isomorphic embeddings of symmetric function spaces into operator ideals

Alberti--Uhlmann problem on Hardy--Littlewood--Pólya majorization

Non-existence of translation-invariant derivations on algebras of measurable functions

Logarithmic submajorisation and order-preserving linear isometries

Completely symmetric subspaces of noncommutative $L_{p}$ -spaces

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

Operator $θ$ -Hölder functions with respect to $∥ \cdot ∥_{p}$ , $0 < p \leq \infty$

Isomorphic classification of $L_{p, q}$ -spaces, II