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PROPERTY: 作品数：2159被引量：3516H指数：20; 导出分析报告; 相关领域：理学更多>>; 相关作者：叶耀军刘仲奎朱质彬梁辉郝俊杰更多>>; 相关机构：清华大学中国科学院天津大学北京理工大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家高技术研究发展计划更多>>

Weyl Type Theorem for Bounded Linear Operator and Its Functional Calculus: 《Acta Mathematica Sinica,English Series》2024年第2期528-536,共9页Gao Hui Zi FENG Peng Tong LI; Supported by the National Natural Science Foundation of China(Grant No.11671201)。; Let H be a complex infinite dimensional Hilbert space and B(H)be the algebra of all bounded linear operators on H.In this paper,we mainly study the operators that satisfy both a-Weyl's theorem and property(R).Also,the...; 关键词：a-Weyl's theorem property(R) functional calculus

L^(2) Extension and Effectiveness of L^(p) Strong Openness Property: 《Acta Mathematica Sinica,English Series》2023年第5期814-826,共13页Shi Jie BAO Qi An GUAN; The second author was supported by NSFC(Grant Nos.11825101,11522101 and 11431013)。; In this note,we present an L^(2) extension approach to the effectiveness result of L^(P) strong openness property of multiplier ideal sheaves.; 关键词：Optimal L^(2)extension multiplier ideal sheaf L^(P)strong openness property

The Decomposability for Operator Matrices and Perturbations: 《Acta Mathematica Sinica,English Series》2023年第3期497-512,共16页Xiao Li WANG ALATANCANG; Supported by National Natural Science Foundation of China(Grant No.11761029);Inner Mongolia Higher Education Science and Technology Research Project(Grant Nos.NJZY22323 and NJZY22324);Inner Mongolia Natural Science Foundation(Grant No.2018MS07020)。; Let X and Y be Banach spaces.For A∈L(X),B∈L(Y),C∈L(Y,X),let MCbe the operator matrix defined on X⊕Y by M_(C)=(AC0B)∈L(X⊕Y).In this paper we investigate the decomposability for MC.We consider Bishop’s property(...; 关键词：Bishop’s property(β) decomposition property(δ) Dunford’s property(C) DECOMPOSABILITY operator matrix PERTURBATION local spectral theory

Property(R)for Upper Triangular Operator Matrices: 《Acta Mathematica Sinica,English Series》2023年第3期523-532,共10页Li Li YANG Xiao Hong CAO; Supported by the Fundamental Research Funds for the Central Universities(Grant No.GK 202007002);Nature Science Basic Research Plan in Shaanxi Province of China(Grant No.2021JM-189,2021JM-519)。; Property(R)holds for an operator when the complement in the approximate point spectrum of the Browder essential approximate point spectrum coincides with the isolated points of the spectrum which are eigenvalues of fi...; 关键词：property(R) upper triangular operator matrix SPECTRUM

On Ramanujan Sums over a Dedekind Domain with Finite Norm Property: 《Acta Mathematica Sinica,English Series》2023年第1期149-160,共12页Zhi Yong ZHENG Man CHEN Zi Wei HONG; Supported by the National Research and Development Program of China(Grant No.2018YFB1107402)。; In this paper,we consider Ramanujan’s sums over arbitrary Dedekind domain with finite norm property.We define the Ramanujan’s sumsη(a,A)andη(B,A),where a is an arbitrary element in a Dedekind domain,B is an ideal ...; 关键词：Dedekind domains Ramanujan Sums primitive additive character reciprocity formula orthogonality property

L^(2)Extension and Effectiveness of Strong Openness Property被引量：1: 《Acta Mathematica Sinica,English Series》2022年第11期1949-1964,共16页Shi Jie BAO Qi An GUAN; The second author was supported by NSFC(Grant Nos.11825101,11522101,11431013)。; In this note,we present an L^(2)extension approach to the effectiveness result of strong openness property of multiplier ideal sheaves.; 关键词：Optimal L^(2)extension multiplier ideal sheaf strong openness property

Symmetric Extended MS-algebras with the Strong Endomorphism Kernel Property: 《Acta Mathematica Sinica,English Series》2022年第8期1447-1458,共12页Jie FANG; An endomorphism on an algebra A is said to be strong if it is compatible with every congruence on A.If every congruence on A,other than the universal congruence,is the kernel of a strong endomorphism on A,then A is sa...; 关键词：Extended MS-algebra strong endomorphism kernel property Priestley duality

Property(ω)and the Single-valued Extension Property被引量：9: 《Acta Mathematica Sinica,English Series》2021年第8期1254-1266,共13页Lei DAI Xiao Hong CAO Qi GUO; Supported by the National Natural Science Foundation of China(Grant No.111501419);the Doctoral Fund of Shaanxi province of China(Grant No.2017BSHEDZZ108);the Natural Science Basic Research Plan in Shaanxi Province of China(Grant No.2021JM-519)。; By the new spectrum originated from the single-valued extension property,we give the necessary and sufficient conditions for a bounded linear operator defined on a Banach space for which property(ω)holds.Meanwhile,th...; 关键词：Property(ω) the single-valued extension property hypercyclic property supercyclic property

Unique Ergodicity for Zero-entropy Dynamical Systems with the Approximate Product Property: 《Acta Mathematica Sinica,English Series》2021年第2期362-376,共15页Peng SUN; Supported by National Natural Science Foundation of China(Grant No.11571387);CUFE Young Elite Teacher Project(Grant No.QYP1902)。; We show that for every topological dynamical system with the approximate product property, zero topological entropy is equivalent to unique ergodicity. Equivalence of minimality is also proved under a slightly stronge...; 关键词：Approximate product property unique ergodicity topological entropy ergodic measure MINIMALITY specification gluing orbit interval map periodic points

A Complete Characterization of Multivariate Normal Stable Tweedie Models through a Monge Ampere Property: 《Acta Mathematica Sinica,English Series》2020年第11期1232-1244,共13页Célestin C.KOKONENDJI Cyrille C.MOYPEMNA SEMBONA Khoirin NISA; Extending normal gamma and normal inverse Gaussian models,multivariate normal stable Tweedie(NST)models are composed by a fixed univariate stable Tweedie variable having a positive value domain,and the remaining rando...; 关键词：Covariance matrix generalized variance function Monge-Ampere equation multivariateexponential family steepness

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