3 citations · 3 across the 7 of their papers we have counts for
7 papers
Szlenk and -dentability indices of C-algebras
Lixin Cheng, Zhizheng Yu
Let be a infinite dimensional C*-algebra and . We compute the Szlenk index of and , and show that $Sz(\mathcal A)=Γ'(i(\mathc…
Theory of generating spaces of convex sets and their applications to solvability of convex programs in Banach spaces
Lixin Cheng, Weihao Mao
When optimization theorists consider optimization problems in infinite dimensional spaces, they need to deal with closed convex subsets(usually cones) which mostly have empty inter…
On the third problem of Halmos on Banach spaces
Lixin Cheng, Junsheng Fang, Chunlan Jiang
Assume that is a complex separable infinite dimensional Banach space and denotes the Banach algebra of all bounded linear operators from to itself. In 1970…
Representation of measures of noncompactness and its applications related to an initial-value problem in Banach spaces
Xiaoling Chen, Lixin Cheng
The purpose of this paper is devoted to studying representation of measures of non generalized compactness, in particular, measures of noncompactness, of non-weak compactness, and…
On countable determination of the Kuratowski measure of noncompactness
Xiaoling Chen, Lixin Cheng
A long-standing question in the theory of measures of noncompactness is that for the Kuratowski measure of noncompactness defined on a metric space , and for every bounded s…
On order preserving and order reversing mappings defined on cones of convex functions
Lixin Cheng, Sijie Luo
In this paper, we first show that for a Banach space there is a fully order reversing mapping from (the cone of all extended real-valued lower semicontinuou…
Universal stability of Banach spaces for -isometries
Lixin Cheng, Duanxu Dai, Yunbai Dong +1
Let , be two real Banach spaces and . A standard -isometry is said to be -stable (with respect to $T:L(f)\equiv\overlin…