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COMMUTANT: 作品数：16被引量：20H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：楚彦军更多>>; 相关机构：华南理工大学更多>>; 相关期刊：《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Science China Mathematics》《Acta Mathematica Scientia》更多>>; 相关基金：国家自然科学基金更多>>

MULTIPLICATION OPERATORS ON WEIGHTED DIRICHLET SPACES: 《Acta Mathematica Scientia》2024年第6期2225-2248,共24页Kaikai HAN Yucheng LI Maofa WANG; supported by the National Natural Science Foundation of China(12101179,12171138,12171373);the Natural Science Foundation of Hebei Province of China(A2022207001)。; In this paper,we study multiplication operators on weighted Dirichlet spaces D_(β)(β∈R).Let n be a positive integer and β∈R,we show that the multiplication operator M_(z)^(n) on D_(β) is similar to the operator ...; 关键词：multiplication operator weighted Dirichlet space SIMILARITY unitary equivalence COMMUTANT

BAND-DOMINATED OPERATORS ON BERGMAN-TYPE SPACES被引量：1: 《Acta Mathematica Scientia》2023年第1期387-408,共22页伍盛坤郑德超; supported by CSC(201906050022);partially supported by NFSC(11531003)。; In this paper,we study band-dominated operators on Bergman-type spaces and prove that the C*-algebra of band-dominated operators is equal to the essential commutant of Toeplitz operators with a symbol in the set of bo...; 关键词：Band-dominated operators Bergman-type space Essential commutant

THE FIELD ALGEBRA IN HOPF SPIN MODELS DETERMINED BY A HOPF*-SUBALGEBRA AND ITS SYMMETRIC STRUCTURE: 《Acta Mathematica Scientia》2021年第3期907-924,共18页Xiaomin WEI Lining JIANG Qiaoling XIN; supported by National Nature Science Foundation of China(11871303,11701423);Nature Science Foundation of Hebei Province(A2019404009)。; Denote a finite dimensional Hopf C*-algebra by H, and a Hopf *-subalgebra of H by H1. In this paper, we study the construction of the field algebra in Hopf spin models determined by H1 together with its symmetry. More...; 关键词：Comodule algebra field algebra observable algebra COMMUTANT duality

Reducing subspaces of multiplication operators on function spaces: 《Applied Mathematics(A Journal of Chinese Universities)》2013年第4期395-404,共10页GUO Kun-yu HUANG Han-song; This survey presents the brief history and recent development on commutants and reducing subspaces of multiplication operators on both the Hardy space and the Bergman space, and von Neumann algebras generated by multi...; 关键词：reducing subspace COMMUTANT von Neumann algebra Blaschke product holomorphic covering map

Commutant Lifting for Optimal Control of Time-varying Systems: 《Communications in Mathematical Research》2012年第3期252-264,共13页Liu LIU Lu YU-FENG; The NSF (10971020) of China; This paper uses the commutant lifting theorem for representations of the nest algebra to deal with the optimal control of infinite dimensional linear time- varying systems. We solve the model matching problem and a ce...; 关键词：optimal control four block problem commutant lifting TIME-VARYING nest algebra

Commutant of Analytic Toeplitz Operators on the Bergman Space被引量：6: 《Acta Mathematica Sinica,English Series》2010年第12期2255-2258,共4页Jia Yi JIANG Di Sheng XU Department of Mathematics, Peking University, Beijing 100871, P.R. China; In this paper, we characterize the commutant of Toeplitz operators on weighted Bergman space with symbol polynomial by using algebraic curves theory.; 关键词：Toeplitz operator COMMUTANT Bergman space algebraic curves

The commutants of analytic Toeplitz operators for several complex variables被引量：1: 《Science China Mathematics》2010年第7期1873-1880,共8页Cao GuangFu Huang Sui; supported by National Natural Science Foundation of China (Grant Nos.110671041, 10971040); It is proved that if is a nonconstant bounded analytic function on the unit ball B n and continuous on S n in C n , and ψ is a bounded measurable function on S n such that T * and T ψ commute, then ψ is the bounda...; 关键词：TOEPLITZ OPERATOR COMMUTANT of AN OPERATOR

The Commutant of Analytic Toeplitz Operators on Bergman Space: 《Acta Mathematica Sinica,English Series》2008年第10期1737-1750,共14页Yu Cheng LI; the National Natural Science Foundation of China(10571041);the Doctoral Foundation of Hebei Normal University(130144); In this paper, using the matrix skills and operator theory techniques we characterize the commutant of analytic Toeplitz operators on Bergman space. For f（z） = z^ng（z）（n ≥1）, g（z） = b0 ＋ b1z^p1 ＋b2z^p2 ＋....; 关键词：Bergman space analytic Toeplitz operator COMMUTANT strong irreducibility

About Operator Weighted Shift被引量：1: 《Acta Mathematica Sinica,English Series》2007年第8期1385-1390,共6页Chun Lan JIANG Yong Fei JIN Zong Yao WANG; Work partially supported by NNSFC; Abstract Let H be a complex seperable Hilbert space and ^（Jt^） denote the collection of bounded linear operators on H. For an operator in L（H）, rad{A}＇ denotes the Jacobson radical of the commutant of A. This pap...; 关键词：Operator weighted shift Strongly irriducible operator SIMILARITY COMMUTANT Jacobson radical

The commutant and similarity invariant of analytic Toeplitz operators on Bergman space被引量：12: 《Science China Mathematics》2007年第5期651-664,共14页Chun-Ian JIANG Yu-cheng Li; the National Natural Science Foundation of China (Grant No. 10571041); The famous von Neumann-Wold Theorem tells us that each analytic Toeplitz operator with n + 1-Blaschke factors is unitary to n + 1 copies of the unilateral shift on the Hardy space. It is obvious that the von Neumann-W...; 关键词：Bergman space analytic Toeplitz operators invariant subspace COMMUTANT similarity invariant K 0-group 32A36 46J40 47A15

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