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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>>

THE BSE PROPERTY FOR SOME VECTOR-VALUED BANACH FUNCTION ALGEBRAS: 《Acta Mathematica Scientia》2024年第5期1945-1954,共10页Fatemeh ABTAHI Ali REJALI Farshad SAYAF; In this paper,X is a locally compact Hausdorff space and A is a Banach algebra.First,we study some basic features of C0(X,A)related to BSE concept,which are gotten from A.In particular,we prove that if C0(X,A)has the ...; 关键词：BSE algebras BSE-function BSE norm multiplier algebra SEMISIMPLE without order

MEAN SENSITIVITY AND BANACH MEAN SENSITIVITY FOR LINEAR OPERATORS: 《Acta Mathematica Scientia》2024年第4期1200-1228,共29页Quanquan YAO Peiyong ZHU; supported by the NSFC(11501391)。; Let(X,T)be a linear dynamical system,where X is a Banach space and T:X→X is a bounded linear operator.This paper obtains that(X,T)is sensitive(Li-Yorke sensitive,mean sensitive,syndetically mean sensitive,respectivel...; 关键词：mean sensitive Banach mean sensitive syndetically mean sensitive Li-Yorke sensitive mean Li-Yorke sensitive

A generalization of Banach's lemma and its applications to perturbations of bounded linear operators: 《Applied Mathematics(A Journal of Chinese Universities)》2024年第2期363-369,共7页WANG Zi DING Jiu WANG Yu-wen; Supported by the National Natural Science Foundation of China(12001142).; Let X be a Banach space and let P:X→X be a bounded linear operator.Using an algebraic inequality on the spectrum of P,we give a new sufficient condition that guarantees the existence of(I-P)^(-1) as a bounded linear ...; 关键词：Banach lemma spectral radius generalized inverse perturbation analysis

Banach指标函数的可测性: 《数学译林》2024年第1期93-96,共4页Nikita Evseev 陆柱家(译) 童欣(校); 我们对于一个几何上双重度量空间的可测映射的Banach(巴拿赫)指标函数建立了其可测性这是Euclid(欧几里得)空间连续变换一个已知结果的推广。度量空间中二进立方体系统被利用来构造收敛到指标函数的一个可测函数列,这里我们部分遵循Ban...; 关键词：指标函数度量空间欧几里得连续变换 BANACH 可测函数列巴拿赫可测性

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

与球 Banach 函数空间相关的广义 Morrey 空间上的双线性 Caldero′n-Zygumd 算子及其交换子的有界性: 《理论数学》2023年第5期1157-1172,共16页李雪梅; 本文主要讨论了双线性 C−Z 算子 T 及其交换子 [b1, b2, T ] 在与球 Banach 函数空间相关的广义 Morrey 空间 Mu(X) 上的有界性. 证明了 T 从乘积空间 Mu1 (X1) × Mu2 (X2) 到空间 Mu(Y ) 有界. 进一步, 也证明了由 b1, b2 ∈ BMO(X) ...; 关键词：双线性 Caldero′n-Zygumd 算子交换子球 Banach 函数空间广义 Morrey 空间有界性

THE SYSTEMS WITH ALMOST BANACH-MEAN EQUICONTINUITY FOR ABELIAN GROUP ACTIONS被引量：1: 《Acta Mathematica Scientia》2022年第3期919-940,共22页Bin ZHU Xiaojun HUANG Yuan LIAN; supported by NSF of China(11671057);NSF of Chongqing(cstc2020jcyj-msxmX0694);the Fundamental Research Funds for the Central Universities(2018CDQYST0023).; In this paper,we present the concept of Banach-mean equicontinuity and prove that the Banach-,Weyl-and Besicovitch-mean equicontinuities of a dynamic system of Abelian group action are equivalent.Furthermore,we obtain...; 关键词：Abelian group action Banach mean equicontinuous Banach mean density independence set

ORLICZ-LORENTZ SEQUENCE SPACES EQUIPPED WITH THE ORLICZ NORM In memory of Henryk Hudzik,a great man,our teacher and colleague被引量：1: 《Acta Mathematica Scientia》2022年第2期623-652,共30页Yunan CUI Pawel FORALEWSKI Joanna KONCZAK; the supportof NSF of China(11871181)。; In this article,we consider Orlicz-Lorentz sequence spaces equipped with the Orlicz norm(λ_(φ,ω),‖·‖_(φ,ω)^(O))generated by any Orlicz function and any non-increasing weight sequence.As far as we know,research...; 关键词：Orlicz-Lorentz spaces Banach symmetric spaces Orlicz norm order continuity and copies of l^(∞) monotonicity properties

On the existence and uniqueness of a nonlinear q-difference boundary value problem of fractional order: 《International Journal of Modeling, Simulation, and Scientific Computing》2022年第1期265-284,共20页Zouaoui Bekri Vedat Suat Erturk Pushpendra Kumar; In this research collection,we estimate the existence of the unique solution for the boundary value problem of nonlinear fractional q-difference equation having the given form c D^(ζ)_(q) v(t)−h(t,v(t))=0,0≤t≤1,α_...; 关键词：Fractional q-derivative principle of Banach contraction Leary-Schauder non-linear alternative existence and uniqueness boundary value problem

BANACH