9 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…
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…