um-Topology in multi-normed vector lattices
نویسندگان
چکیده
منابع مشابه
Unbounded Norm Topology beyond Normed Lattices
In this paper, we generalize the concept of unbounded norm (un) convergence: let X be a normed lattice and Y a vector lattice such that X is an order dense ideal in Y ; we say that a net (yα) un-converges to y in Y with respect to X if ∥∥|yα−y|∧x∥∥→ 0 for every x ∈ X+. We extend several known results about unconvergence and un-topology to this new setting. We consider the special case when Y is...
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ژورنال
عنوان ژورنال: Positivity
سال: 2017
ISSN: 1385-1292,1572-9281
DOI: 10.1007/s11117-017-0533-6