Don Schauder Honoured by Monash
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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We extend the concept of weaving Hilbert space frames to the Banach space setting. Similar to frames in a Hilbert space, we show that for any two approximate Schauder frames for a Banach space, every weaving is an approximate Schauder frame if and only if there is a uniform constant C ≥ 1 such that every weaving is a C-approximate Schauder frame. We also study weaving Schauder bases, where it i...
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A basic problem of interest in connection with the study of Schauder frames in Banach spaces is that of characterizing those Schauder frames which can essentially be regarded as Schauder bases. In this paper, we study this problem using the notion of a minimal-associated sequence space and a minimal-associated reconstruction operator for Schauder frames. We prove that a Schauder frame is a near...
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ژورنال
عنوان ژورنال: Australian Academic & Research Libraries
سال: 2007
ISSN: 0004-8623,1839-471X
DOI: 10.1080/00048623.2007.10721274