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 ...
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...
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...
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...
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...
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...
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...
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...
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) ...
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 ...