Schauder bases of integer translates

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Characterization of Schauder Frames Which Are Near-schauder Bases

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...

متن کامل

Schauder bases under uniform renormings

Let X be a separable superreflexive Banach space with a Schauder basis. We prove the existence of an equivalent uniformly smooth (resp. uniformly rotund) renorming under which the given basis is monotone. Mathematics Subject Classification (2000). 46B03.

متن کامل

Fractal Functions and Schauder Bases

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 =...

متن کامل

On the Effective Existence of Schauder Bases

We construct a computable Banach space which possesses a Schauder basis, but does not possess any computable Schauder basis.

متن کامل

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...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Applied and Computational Harmonic Analysis

سال: 2007

ISSN: 1063-5203

DOI: 10.1016/j.acha.2007.04.002