Order and norm convergence in Banach lattices
نویسندگان
چکیده
منابع مشابه
Unbounded Norm Convergence in Banach Lattices
A net (xα) in a vector lattice X is unbounded order convergent to x ∈ X if |xα − x| ∧ u converges to 0 in order for all u ∈ X+. This convergence has been investigated and applied in several recent papers by Gao et al. It may be viewed as a generalization of almost everywhere convergence to general vector lattices. In this paper, we study a variation of this convergence for Banach lattices. A ne...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1974
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500002032