BANACH

作品数:284被引量:402H指数:9
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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>>
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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 
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 
THE PROXIMAL RELATION,REGIONALLY PROXIMAL RELATION AND BANACH PROXIMAL RELATION FOR AMENABLE GROUP ACTIONS
《Acta Mathematica Scientia》2021年第3期729-752,共24页Yuan LIAN Xiaojun HUANG Zhiqiang LI 
supported by NSF of China(11671057);NSF of Chongqing(cstc2020jcyj-msxm X0694);the Fundamental Research Funds for the Central Universities(2018CDQYST0023)。
In this paper,we study the proximal relation,regionally proximal relation and Banach proximal relation of a topological dynamical system for amenable group actions.A useful tool is the support of a topological dynamic...
关键词:Proximal relation amenable group mean equicontinuity 
THE BALL-COVERING PROPERTY ON DUAL SPACES AND BANACH SEQUENCE SPACES
《Acta Mathematica Scientia》2021年第2期461-474,共14页Shaoqiang SHANG 
supported by the“China Natural Science Fund”under grant 11871181;the“China Natural Science Fund”under grant 12026423.
In this paper,we prove that(X,p)is separable if and only if there exists a w^(*)-lower semicontinuous norm sequence{p_(n)}_(n=1)^(∞)of(X^(*),p)such that(1)there exists a dense subset G_(n)of X^(*)such that p_(n)is Ga...
关键词:Ball-covering property separable space Gateaux differentiable point weak^(*)exposed point 
LOCAL CONVERGENCE OF INEXACT NEWTON-LIKE METHOD UNDER WEAK LIPSCHITZ CONDITIONS
《Acta Mathematica Scientia》2020年第1期199-210,共12页Ioannis KARGYROS Yeol Je CHO Santhosh GEORGE Yibin XIAO 
The paper develops the local convergence of Inexact Newton-Like Method(INLM)for approximating solutions of nonlinear equations in Banach space setting.We employ weak Lipschitz and center-weak Lipschitz conditions to p...
关键词:INEXACT NEWTON method BANACH space semilocal convergence WEAK and center-weak LIPSCHITZ condition recurrent functions KANTOROVICH hypotheses 
DISJOINT SUPERCYCLIC WEIGHTED PSEUDO-SHIFTS ON BANACH SEQUENCE SPACES
《Acta Mathematica Scientia》2019年第4期1089-1102,共14页Ya WANG Yu-Xia LIANG 
supported by the Research Project of Tianjin Municipal Education Commission(2017KJ124)
In this article, we present several equivalent conditions ensuring the disjoint supercyclicity of finite weighted pseudo-shifts acting on an arbitrary Banach sequence space.The disjoint supercyclic properties of weigh...
关键词:DISJOINT supercyclicity WEIGHTED pseudo-shifts DISJOINT Blow-up/collapse Property 
STABILITY OF A PAIR OF BANACH SPACES FOR ε-ISOMETRIES被引量:1
《Acta Mathematica Scientia》2019年第4期1163-1172,共10页Duanxu DAI Bentuo ZHENG 
supported in part by NSFC(11601264,11471270 and 11471271);the Fundamental Research Funds for the Central Universities(20720160037);the Outstanding Youth Scientific Research Personnel Training Program of Fujian Province;the High level Talents Innovation and Entrepreneurship Project of Quanzhou City(2017Z032);the Research Foundation of Quanzhou Normal University(2016YYKJ12);the Natural Science Foundation of Fujian Province of China(2019J05103);supported in part by NSFC(11628102)
A pair of Banach spaces (X, Y) is said to be stable if for every £-isometry f : X→Y,there exist γ> 0 and a bounded linear operator T : L(f)→X with ||T||≤α such that ||Tf(x)- x||≤γε for all x ∈ X, where L(f) ...
关键词:STABILITY ε-isometry Figiel THEOREM BANACH space 
THE GENERALIZED ROPER-SUFFRIDGE OPERATOR ON THE UNIT BALL IN COMPLEX BANACH AND HILBERT SPACES被引量:4
《Acta Mathematica Scientia》2017年第6期1817-1829,共13页崔艳艳 王朝君 刘浩 
supported by NSF of China(11271359);Science and Technology Research Projects of Henan Provincial Education Department(17A110041);Youth Fund Projects of Zhoukou Normal University(zknu B3201608)
In this paper, we extend the Roper-Suffridge extension operator in complex Ba- nach space, and prove that the extended Roper-Suffridge operators preserve the properties of the subclasses of spirallike mappings on the ...
关键词:spirallike mappings starlike mappings Roper-Suffridge operator 
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