ON EQUIVALENCE RELATIONS GENERATED BY SCHAUDER BASES
نویسندگان
چکیده
منابع مشابه
On Equivalence Relations Generated by Schauder Bases
Let (xn) be a sequence in a Banach space X. We denote coef(X, (xn)) = {a ∈ R : ∑ n a(n)xn converges}. In this talk, we focus on Borel reducibility between equivalence relations of RN/coef(X, (xn)). This kind of research begin from Dougherty and Hjorth’s results on R/`p (p ≥ 1) and R/c0. School of Mathematical Sciences, Nankai University, Tianjin, 300071, P.R.China E-mail address: dinglongyun@gm...
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1. Introduction. In recent years more and more attention has been paid in mathematical papers to fractal functions and to fractal sets. There are various definitions of those objects. We assume that a compact set K ∈ R d+1 is fractal, by definition, if its box (entropy) dimension dim b (K) = j for j = 0, 1,. .. , d + 1 and 0 < dim b (K) < d + 1. At the same time the function f : I d → R d , I =...
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ژورنال
عنوان ژورنال: The Journal of Symbolic Logic
سال: 2017
ISSN: 0022-4812,1943-5886
DOI: 10.1017/jsl.2017.67