Absolutely representing systems, uniform smoothness and type
نویسندگان
چکیده
منابع مشابه
Absolutely Representing Systems, Uniform Smoothness and Type
Absolutely representing system (ARS) in a Banach space X is a set D ⊂ X such that every vector x in X admits a representation by an absolutely convergent series x = ∑ i aixi with (ai) ⊂ R and (xi) ⊂ D. We investigate some general properties of ARS. In particular, ARS in uniformly smooth and in B-convex Banach spaces are characterized via ε-nets of the unit balls. Every ARS in a B-convex Banach ...
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ژورنال
عنوان ژورنال: Quaestiones Mathematicae
سال: 2000
ISSN: 1607-3606,1727-933X
DOI: 10.2989/16073600009485960