Continuous Operators for Unbounded Convergence in Banach Lattices

نویسندگان

چکیده

Recently, continuous functionals for unbounded order (norm, weak and weak*) in Banach lattices were studied. In this paper, we study the operators with respect to convergences. We first investigate approximation property of convergence. Then show some characterizations continuity uo, un, uaw uaw*-convergence. Based on these results, discuss order-weakly compact lattices.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2022

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math10060966