百晓学者学者目录

刘锐

博士生导师,南开大学

精选作品

期刊论文

2026

DYNAMICAL SYSTEM COVARIANT MAPS:DILATIONS AND CROSSED PRODUCTS

韩德广,胡前锋,David R.LARSON,刘锐

Acta Mathematica Scientia

2025

保框架的可逆加权复合算子

董娅丽,刘锐

《数学学报(中文版)》

2025

Linearization of Lipschitz framings for Banach spaces

Qiyao Bao, Deguang Han, Rui Liu, Jie Shen

Expositiones Mathematicae

2023

线性同构下有界函数空间的球覆盖性质(英文)

张睿杰,王彦桥,朱书辰,刘锐

《南开大学学报(自然科学版)》

2023

Gabor框架的量子单射性与稳定性

王贺颖,刘锐,包琪瑶

《数学学报(中文版)》

2023

On the Figiel Type Problem and Extension of ε-Isometry Between Unit Spheres

Rui Liu, Jifu Yin

Acta Mathematica Scientia

2023

Extension of quasi-H$$\ddot{\text {o}}$$lder embeddings between unit spheres of p-normed spaces

Rui Liu, Jifu Yin

Annals of Functional Analysis

2022

向量空间和C*-代数上的扩张理论

包琪瑶,韩德广,刘锐

《曲阜师范大学学报(自然科学版)》

2022

Operators with the Lipschitz bounded approximation property

Rui Liu, Jie Shen, Bentuo Zheng

Science China Mathematics

2017

p-算子空间上的框架逼近和嵌入

安桂梅,李磊,刘锐

《数学学报(中文版)》

2017

Nonuniform sampling in principal shift-invariant subspaces of mixed Lebesgue spaces L p , q ( R d + 1 )

Rui Li, Bei Liu, Rui Liu, Qingyue Zhang

Journal of Mathematical Analysis and Applications

2014

有限维P-框架的冗余函数

刘蓓,刘锐

《数学学报(中文版)》

2014

Parseval p-frames and the Feichtinger conjecture

Bei Liu, Rui Liu, Bentuo Zheng

Journal of Mathematical Analysis and Applications

2013

关于分段线性谱序列的研究

刘蓓,刘锐

《应用数学》

2013

Operator-Valued Measures, Dilations, and the Theory of Frames

Deguang Han, David R. Larson, Bei Liu, Rui Liu

Memoirs of the American Mathematical Society

2013

A note on the Mazur–Ulam property of almost-CL-spaces

Dongni Tan, Rui Liu

Journal of Mathematical Analysis and Applications

2013

Generalized-lush spaces and the Mazur–Ulam property

Dongni Tan, Xujian Huang, Rui Liu

Studia Mathematica

2012

关于保持距离相等映射和逼近满等距算子的两个注记(英文)

刘锐,卢国祥

《应用数学》

2010

A Characterization of Schauder Frames Which Are Near-Schauder Bases

Rui Liu, Bentuo Zheng

Journal of Fourier Analysis and Applications

2009

On shrinking and boundedly complete Schauder frames of Banach spaces

Rui Liu

Journal of Mathematical Analysis and Applications

2009

A note on extension of isometric embedding from a Banach space E into the universal space ℓ∞(Γ)

Rui Liu

Journal of Mathematical Analysis and Applications

2007

两个■∞-空间单位球面间非满等距算子的讨论及其应用

刘锐

《数学物理学报》

2007

Banach空间上单位球面间的1-Lipschitz映射

刘锐

《数学学报(中文版)》

2007

严格凸赋范空间的Lβ-和的单位球面之间的等距

刘锐

《数学学报(中文版)》

预印本

2026

The renorming-stable ball covering property and $C(K)$-spaces

Rui Liu, Jie Shen, Richard J. Smith

arXiv preprint

2026

Uniform Approximation for Operator Learning on Compact Sets

Rui Liu, Jie Shen

arXiv preprint

2026

$π$-Properties, Uniformly Convexity and Uniform Ball Coverings Properties

Rui Liu, Jie Shen

arXiv preprint

2026

The Time-Frequency Covariance Principle on Unimodular Kac Algebras

Xiao Chen, Rui Liu, Yuxuan Zheng

arXiv preprint

2026

Full Gabor frames, its existence problem, and a non-uniform Balian-Low type theorem

Rui Liu, Xin Ma, Yuxuan Zheng

arXiv preprint

2026

Duals of separable Banach Spaces as Calkin Algebras and Universal Ideal Quotients

Rui Liu, Jie Shen

arXiv preprint

2026

Inverse-Limit Detection Envelopes as Calkin Algebras

Rui Liu, Jie Shen

arXiv preprint

2025

Dynamical Frames and Hyperinvariant Subspaces

Victor Bailey, Deguang Han, Keri Kornelson, David Larson, Rui Liu

arXiv preprint

2025

Approximation properties and quantitative estimation for uniform ball-covering property of operator spaces

Qiyao Bao, Rui Liu, Jie Shen

arXiv preprint

2025

On Diagonal bimodules of étale groupoid $C^*$-algebras

Rui Liu, Xiangqi Qiang, Chengjun Hou

arXiv preprint

2025

Uniqueness of the Short-Time Linear Canonical Transform Phase Retrieval

Yali Dong, Rui Liu, Heying Wang

arXiv preprint

2024

The ball-covering property of non-commutative spaces of operators on Banach spaces

Qiyao Bao, Rui Liu, Jie Shen

arXiv preprint

2023

The ball-covering property of von Neumann algebras and noncommutative symmetric spaces

Jinghao Huang, Karimbergen Kudaybergenov, Rui Liu

arXiv preprint

2021

Ball covering property from commutative function spaces to non-commutative spaces of operators

Minzeng Liu, Rui Liu, Jimeng Lu, Bentuo Zheng

arXiv preprint

2021

Dilations for operator-valued quantum measures

Deguang Han, Qianfeng Hu, David R. Larson, Rui Liu

arXiv preprint

2016

Cb-frames for operator spaces

Rui Liu, Zhong-Jin Ruan

arXiv preprint

2015

Some Structural Properties of Homomorphism Dilation Systems for Linear Maps

Deguang Han, David R. Larson, Bei Liu, Rui Liu

arXiv preprint

2014

Dilations for Systems of Imprimitivity acting on Banach Spaces

Deguang Han, David R. Larson, Bei Liu, Rui Liu

arXiv preprint

2012

Upper and lower estimates for schauder frames and atomic decompositions

Kevin Beanland, Daniel Freeman, Rui Liu

arXiv preprint

2012

Hilbert-Schauder Frame Operators

Rui Liu

arXiv preprint

2012

Upper Beurling Density of Systems formed by Translates of finite Sets of Elements in $L^p(\R^d)$

Bei Liu, Rui Liu

arXiv preprint

书籍章节

2026

Frames and Approximation Properties

Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu

Synthesis lectures on mathematics and statistics

2026

Frames in Banach Spaces

Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu

Synthesis lectures on mathematics and statistics

2026

Quantum Detection and Phase Retrieval Frames

Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu

Synthesis lectures on mathematics and statistics

2026

Samplings in Mixed Lebesgue Spaces

Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu

Synthesis lectures on mathematics and statistics

2026

Frames in Hilbert Spaces

Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu

Synthesis lectures on mathematics and statistics

2026

Algebraic and Generalized Choi-Kraus Dilations

Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu

Synthesis lectures on mathematics and statistics

2026

Banach Space Dilations

Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu

Synthesis lectures on mathematics and statistics

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