8 citations · 11 across the 8 of their papers we have counts for
9 papers
-compact operators on Banach lattices
Jin Xi Chen, Jingge Feng
This paper is devoted to the study of -compact operators, that is, those operators which map disjointly weakly compact sets in a Banach lattice onto relatively compact sets. We…
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…
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…
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…
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…