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BANACH: 作品数：284被引量：402H指数：9; 导出分析报告; 相关领域：理学更多>>; 相关作者：李民丽李忠艳钟怀杰刘立山吴从炘更多>>; 相关机构：福建师范大学曲阜师范大学哈尔滨理工大学南昌大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金福建省自然科学基金国家教育部博士点基金山东省自然科学基金更多>>

Multidimensional Multiplicative Large Sets in Totally Minimal Systems: 《Acta Mathematica Sinica,English Series》2023年第8期1635-1649,共15页Jian Jie ZHAO; supported by the Scientific Research Fund of Zhejiang Provincial Education Department(Grant No.Y202147669);the Zhejiang Provincial Natural Science Foundation of China(Grant No.LQ23A010006)。; In this paper,it is shown that for a residual set of points in a totally minimal system with finitely many commuting homeomorphisms,the set of return times to any non-empty open set contains a subset with positive mul...; 关键词：Multidimensional multiplicative upper Banach density totally minimal systems

Weighted Variation Inequalities for Singular Integrals and Commutators in Rearrangement Invariant Banach and Quasi-Banach Spaces: 《Acta Mathematica Sinica,English Series》2023年第7期1389-1413,共25页Jia Wei TAN Qing Ying XUE; supported partly by the National Key R&D Program of China (Grant No.2020YFA0712900);NNSF of China (Grant Nos. 11871101, 12271041)。; In order to study the boundedness of some operators in general function spaces which include Lorentz spaces and Orlicz spaces as special examples,Lorentz introduced a new space called rearrangement invariant Banach fu...; 关键词：Variation operators singular integrals COMMUTATORS sparse operators rearrangement invariant Banach function spaces

Distributional Chaos Occurring on the Set of Proper Positive Upper Banach Density Recurrent Points of One-sided Symbolic Systems: 《Acta Mathematica Sinica,English Series》2020年第1期66-76,共11页Yan Jie TANG Jian Dong YIN; Supported by the National Natural Science Foundation of China(Grant Nos.11661054 and 11261039); The purpose of this paper is to show that for one-sided symbolic systems,there exists an uncountable distributionally scrambled set contained in the set of proper positive upper Banach density recurrent points.; 关键词：Distributional chaos positive upper Banach density recurrent point one-sided symbolic system

Strong Laws of Large Numbers for Double Sums of Banach Space Valued Random Elements被引量：1: 《Acta Mathematica Sinica,English Series》2019年第5期583-596,共14页Robert PARKER Andrew ROSALSKY; For a double array {V_(m,n), m ≥ 1, n ≥ 1} of independent, mean 0 random elements in a real separable Rademacher type p(1 ≤ p ≤ 2) Banach space and an increasing double array {b_(m,n), m ≥1, n ≥ 1} of positive c...; 关键词：Real separable BANACH SPACE DOUBLE array of independent random elements strong law of large numbers almost sure CONVERGENCE Rademacher type p BANACH SPACE CONVERGENCE in Lp

Additive Maps Preserving Nilpotent Perturbation of Scalars: 《Acta Mathematica Sinica,English Series》2019年第3期407-426,共20页Ting ZHANG Jin Chuan HOU; Supported by Natural Science Foundation of China(Grant No.11671294); Let X be a Banach space over F(= R or C) with dimension greater than 2. Let N(X) be the set of all nilpotent operators and B_0(X) the set spanned by N(X). We give a structure result to the additive maps on FI + B_0(X)...; 关键词：BANACH SPACES NILPOTENT operators PERTURBATIONS additive PRESERVERS

Stability Characterizations of ε-isometries on Certain Banach Spaces被引量：2: 《Acta Mathematica Sinica,English Series》2019年第1期123-134,共12页Li Xin CHENG Long Fa SUN; supported in part by the Natural Science Foundation of China(Grant Nos.11731010,11471270&11471271); Suppose that X, Y are two real Banach Spaces. We know that for a standard ε-isometry f : X → Y, the weak stability formula holds and by applying the formula we can induce a closed subspace N of *. In this paper, by ...; 关键词：ε-isometry STABILITY hereditarily INDECOMPOSABLE SPACE quasi-reflexive SPACE BANACH SPACE

Banach Upper Density Recurrent Points of C^0-flows: 《Acta Mathematica Sinica,English Series》2016年第11期1312-1322,共11页Qi YAN Jian Dong YIN Ballesteros MARNELLIE Wei Ling WU; Supported by National Natural Science Foundations of China(Grant Nos.11261039,11661054);National Natural Science Foundation of Jiangxi(Grant No.20132BAB201009); Let X denote a compact metric space with distance d and F ： X×R→ X or Ft ： X→X denote a C0-flow. From the point of view of ergodic theory, all important dynamical behaviors take place on a full measure set. The a...; 关键词：C0-flow measure centre weakly almost periodic point quasi-weakly almost periodicpoint Banach upper density recurrent point

Fourier Transforms of Bounded Bilinear Forms on C＊（S1）×C＊（S2） of Foundation ＊-semigroups S1 and S2被引量：2: 《Acta Mathematica Sinica,English Series》2008年第3期439-454,共16页M.LASHKARIZADEH BAMI; the Research Project No. 830104;the Center of Excellence for Mathematics of the University of Isfahan for their financial supports; The author gives a characterization of the Fourier transforms of bounded bilinear forms on C＊（S1）×C＊（S2） of two foundation semigroups S1 and S2 in terms of Jordan ＊-representations, hemimogeneous random fields...; 关键词：topological semigroups Banach ＊-algebras REPRESENTATIONS positive-definite functions Fourier transforms bilinear forms

Approximately Linear Mappings in Banach Modules over a C~*-algebra被引量：1: 《Acta Mathematica Sinica,English Series》2007年第11期1919-1936,共18页Choonkil PARK Jian Lian CUI; Grant No. F01-2006-000-10111-0 from the Korea Science & Engineering Foundation;The second author is supported by National Natural Science Foundation of China (No.10501029);Tsinghua Basic Research Foundation (JCpy2005056);the Specialized Research Fund for Doctoral Program of Higher Education; Let X and Y be vector spaces. The authors show that a mapping f ： X →Y satisfies the functional equation 2d f（∑^2d j=1（-1）^j＋1xj/2d）=∑^2dj=1（-1）^j＋1f（xj） with f（0） = 0 if and only if the mapping f ： X...; 关键词：C^＊-algebra homomorphism stability Poisson C^＊-algebra homomorphism Poisson Banach module over Poisson C^＊-algebra Poisson JC^＊-algebra homomorphism

Universal Jensen's Equations in Banach Modules over a C-Algebra and Its Unitary Group被引量：9: 《Acta Mathematica Sinica,English Series》2004年第6期1047-1056,共10页Chun Gil PARK; supported by Korea Research Foundation Grant KRF-2002-041-C00014; In this paper,we prove the generalized Hyers-Ulam-Rassias stability of universal Jensen's equations in Banach modules over a unital C~*-algebra.It is applied to show the stability of universal Jensen's equations in a ...; 关键词：Banach module over C~*-algebra Universal Jensen's equation Stability Hilbert module over C~*-algebra Real rank O Unitary group

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