Continuous functionals for unbounded convergence in Banach lattices
نویسندگان
چکیده
Recently, the different types of unbounded convergences (uo, un, uaw, uaw*) in Banach lattices were studied. In this paper, we study continuous functionals with respect to convergences. We first characterize continuity linear for these Then define corresponding dual spaces and get their exact form. Based on results, discuss order reflexivity lattices. Some related results are obtained as well.
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2021
ISSN: ['0003-889X', '1420-8938']
DOI: https://doi.org/10.1007/s00013-021-01610-3