8 citations · 14 across the 13 of their papers we have counts for
14 papers
Continuous functionals for unbounded convergence in Banach lattices
Zhangjun Wang, Zili Chen, Jinxi Chen
Recently, the different types of unbounded convergences (uo, un, uaw, uaw*) in Banach lattices were studied. In this paper, we study the continuous functionals with respect to unbo…
Some results on almost L-weakly and almost M-weakly compact operators
Hui Li, Zili Chen
In this paper, we present some necessary and sufficient conditions for semi-compact operators being almost L-weakly compact (resp. almost M-weakly compact) and the converse. Mainly…
Multiplicative weak convergence in Banach -algebras
Zhangjun Wang, Zili Chen, Jinxi Chen
In this paper, we study multiplicative weak convergence in Banach f-algebra and multiplicative weak* convergence in its dual.
Statistical unbounded convergence in Banach lattices
Zhangjun Wang, Zili Chen, Jinxi Chen
Several recent papers investigated unbounded and statistical versions of order convergence and topology convergence in locally solid Riesz space. In this papers, we study the stati…
Continuous operators for unbounded convergence in Banach lattices
Zhangjun Wang, Zili Chen, Jinxi Chen
Recently, the functionals different types of unbounded convergences (uo, un, uaw, uaw*) in Banach lattices were studied. In this paper, we study the continuous operators with respe…
Lattice copies and applications for weak L- and M-weakly compact operators on Banach lattices
Zhangjun Wang, Zili Chen
Several recent papers investigated lattice copies and unbounded convergences in Banach lattices. In this paper, we first solve the problem of RV and LA which is an extension of the…
Unbounded convergence in Banach lattices and applications
Zhangjun Wang, Zili Chen, Jinxi Chen
Several recent papers investigated unbounded convergences in Banach lattices. Combine all unbounded convergences, including unbounded order (norm, absolute weak, absolute weak*) co…
Some results on unbounded absolute weak Dunford-Pettis operators
Hui Li, Zili Chen
In this paper, we characterize Banach lattices on which each Dunford-Pettis operator (or weak Dunford-Pettis) is unbounded absolute weak Dunford-Pettis operator and the converse.
Some loose ends on unbounded order convergence
Hui Li, ZiliChen
The notion of almost everywhere convergence has been generalized to vector lattices as unbounded order convergence, which proves a very useful tool in the theory of vector and Bana…
Domination by positive weak* Dunford-Pettis operators on Banach lattices
Jin Xi Chen, Zi Li Chen, Guo Xing Ji
Recently, J. H'michane et al. introduced the class of weak* Dunford-Pettis operators on Banach spaces, that is, operators which send weakly compact sets onto limited sets. In this…
Almost Limited Sets in Banach Lattices
Jin Xi Chen, Zi Li Chen, Guo Xing Ji
We introduce and study the class of almost limited sets in Banach lattices, that is, sets on which every disjoint weak null sequence of functionals converges uniformly to zer…
f-Orthomorphisms and f-Linear Operators on the Order Dual of an f-Algebra
Ying Feng, Jin Xi Chen, Zi Li Chen
In this paper we consider the -orthomorphisms and -linear operators on the order dual of an -algebra. In particular, when the -algebra has the factorization property (n…
Order continuous extensions of positive compact operators on Banach lattices
Jin Xi Chen, Zi Li Chen, Guo Xing Ji
Let and be Banach lattices. Let be a vector sublattice of and be an order continuous positive compact (resp. weakly compact) operators. We show…
A Banach-Stone theorem for Riesz isomorphisms of Banach lattices
Jin Xi Chen, Zi Li Chen, Ngai-Ching Wong
Let and be compact Hausdorff spaces, and , be Banach lattices. Let denote the Banach lattice of all continuous -valued functions on equipped with the…