Arazy's conjecture concerning Schur multipliers: revisited and resolved

作者： Jinghao Huang ¹
作者单位：

1. Harbin Institute of Technology
通讯作者： Jinghao Huang Email:jinghao.huang@hit.edu.cn
提交时间：2026-09-06 05:57:35

摘要: Let $\mathcal{S}^ r$ denote the Schatten--von Neumann class and let
$S_{\Psi_{f,\lambda}}$ be the Schur--Hadamard multiplier whose
symbol is the divided-difference matrix of $f$ along $\lambda$.

Schur--Hadamard multiplier Schatten ideal divided difference

来自： 黄景灏
分类： 数学 >> 数学（综合）
投稿状态： 已投稿期刊
引用： ChinaXiv:202609.00460 (或此版本 ChinaXiv:202609.00460V1)
DOI:10.12074/202609.00460
CSTR:32003.36.ChinaXiv.202609.00460
科创链TXID： be35be49-cfc0-49ce-a4b3-41839f6c135e
推荐引用方式： Jinghao Huang.Arazy's conjecture concerning Schur multipliers: revisited and resolved.中国科学院科技论文预发布平台.[DOI:10.12074/202609.00460] (点此复制)

版本历史

[V1]

2026-09-06 05:57:35

ChinaXiv:202609.00460V1

下载全文

1. Isometric Structure in Noncommutative Symmetric Spaces	2026-09-06
2. Tingley&amp;#039;s Problem for Schatten $p$-Classes, $0&amp;lt;p\ne 2&amp;lt;\infty$	2026-09-06
3. Disjointness-preserving mappings on Calkin operator spaces and positive isometries	2026-09-06
4. Norms of multiplication operators: answering Fialkow--Loebl question	2026-09-06
5. Isometric embeddings of noncommutative Lp-spaces into noncommutative symmetric spaces	2026-09-06
6. Lack of isomorphic embedding from Lorentz function spaces into Lorentz operator ideals	2026-09-06
7. A logarithmically monotone symmetric norm which is not fully symmetric	2026-09-06
8. Isomorphisms between symmetric spaces over infinite and finite von Neumann algebras	2026-09-06

1. Explicit Green's Functions for the Robin Problem of the Laplace Equation on Balls in All Dimensions	2026-10-12
2. Exact analytical Green's function of the diffusion equation in a multilayered cylinder with Robin boundary conditions	2026-10-09
3. Log-concavity and log-convexity of Stirling columns, and bottom-heaviness of $q$-Stirling numbers	2026-09-18
4. The unity of the prime number theorem, Bertrand's postulate and Euler's proof	2026-09-09
5. Tingley&amp;#039;s Problem for Schatten \(p\)-Classes, $0&amp;lt;p\ne 2&amp;lt;\infty$	2026-09-06
6. The non-reciprocal entropy–production bound: proven cases, the Q = I premise, an exact reduction, and an open residual	2026-07-04
7. The Jacobian Conjecture via Flag Reduction and 'Etale Fundamental Groups	2026-05-29

1. Isometric Structure in Noncommutative Symmetric Spaces	2026-09-06
2. Tingley&amp;#039;s Problem for Schatten \(p\)-Classes, $0&amp;lt;p\ne 2&amp;lt;\infty$	2026-09-06
3. Disjointness-preserving mappings on Calkin operator spaces and positive isometries	2026-09-06
4. Norms of multiplication operators: answering Fialkow--Loebl question	2026-09-06
5. Isometric embeddings of noncommutative Lp-spaces into noncommutative symmetric spaces	2026-09-06
6. Lack of isomorphic embedding from Lorentz function spaces into Lorentz operator ideals	2026-09-06
7. A logarithmically monotone symmetric norm which is not fully symmetric	2026-09-06
8. Isomorphisms between symmetric spaces over infinite and finite von Neumann algebras	2026-09-06


公开评论匿名评论仅发给作者

Arazy's conjecture concerning Schur multipliers: revisited and resolved

版本历史

相关论文推荐 作者相关论文