Unbounded norm continuous operators and strong continuous operators on Banach lattices
Wang, Zhangjun ; Chen, Zili ; Chen, Jinxi
arXiv, Tome 2019 (2019) no. 0, / Harvested from
In this paper, using the unbounded norm convergence in Banach lattices, we define new classes of operators, named unbounded norm continuous(for short, un-continuous) and strong continuous operators. We study the properties of those operators and the relationship with other operators.
Publié le : 2019-03-12
Classification:  Mathematics - Functional Analysis 
@article{1903.04854,
     author = {Wang, Zhangjun and Chen, Zili and Chen, Jinxi},
     title = {Unbounded norm continuous operators and strong continuous operators on
  Banach lattices},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1903.04854}
}

Wang, Zhangjun; Chen, Zili; Chen, Jinxi. Unbounded norm continuous operators and strong continuous operators on
  Banach lattices. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1903.04854/